157 LearnersLast updated on May 26th, 2025
LCM of 42 and 63
LCM of any two numbers is the least common multiple of two numbers. In our daily life, LCM is used for scheduling events, as distributing any items among others. In this topic, we will learn more about LCM of 42 and 63.
What is the LCM of 42 and 63
The common multiples of 42 and 63 is 126. Here, we will learn about the LCM of 2 numbers. Children learn about LCM at younger ages. Here, we will discuss the methods used for finding out LCM.
How to find the LCM of 42 and 63?
Out of many methods, the prime factorization method is widely used for its easy approach. Here, we will learn about other methods as well. A few commonly used methods are as follows -
- Listing Of Multiples
- Prime Factorization
- Division Method
LCM of 42 and 63 Using Listing the Multiples
Listing multiples can be a tedious method for finding the LCM. Here, the listing of multiples for all these 2 numbers is noted -
- Multiples of 42 are 42, 84, 126, 168
- Multiples of 63 are 63, 126, 189
Then we can see that out of 42 and 63, 126 is the smallest common number that is present in them. So we see that 126 is the LCM of 42 and 63.
LCM of 42 and 63 Using Prime Factorization
The product of the highest power of prime factors of 42 and 63 is the LCM of these numbers. So let us look at it step by step to understand it better.
Breaking the given numbers into their prime factors.
Prime factorization of 42 = 2 × 3 × 7
Prime factorization of 63 = 32 × 7
Multiplying the highest power of prime factors: 21 × 32 × 71 → 2 × 9 × 7 = 126
LCM of 42 and 63 is 126.
LCM of 42 and 63 Using Division Method
In this method, we will be dividing the given numbers with the common prime factors until all numbers are reduced to 1. Let us look at this step by step and make it easy for the children to learn it.
Step 1: Arrange the number in a sequence, divisors, and the numbers are on the left and right sides respectively.
Step 2: For finding the divisor, it is always the smallest common prime factor. Here, the smallest common prime factor is 2. Dividing 42 and 63 by 2. The result is 21 and 63.
Step 3: As 21 and 63 are divisible by 3, the divisor is 3. Dividing 21 and 63 by 3. Now the result is 7 and 21.
Step 4: Continue dividing the numbers with the smallest prime number until all numbers are reduced to 1.
The divisors are 2, 3, 3, 7. LCM of 42 and 63 is the product of divisors.
Hence, the LCM of (42 and 63) = 2 × 3 × 3 × 7 = 126
Common Mistakes and How to Avoid Them in LCM of 42 and 63
There are some common mistakes that are made by children while solving a problem on LCM. Let us look at some of these mistakes and how we can help children to avoid these mistakes.
Mistake 1
Confusing factors and multiples.
Students used to confuse factors and multiples. To avoid confusion, students need to understand the concept of multiples and factors. Multiplies of a number are the product of the number with whole numbers, whereas factors of the number are the numbers which can evenly divide the number. For example, 1, 2, 3, 4, 6, and 12 are the factors of 12; whereas 12, 24, 36, 48, 60,… are the multiples of 12.
LCM of 42 and 63 Example
Problem 1
A sports event is planned every 42 days, and a community event every 63 days, if both events happened today, after how many days will they coincide again?
Step 1: 42 and 63 → write the prime factors
Prime factor of 42: 2 × 3 × 7
Prime factor of 63: 32 × 7
Step 2: Find the highest power and multiply together.
After multiplying, we get 2 × 3 × 3 × 7 =126
Explanation
So we get the LCM of 42 and 63 is 126. Which means both events will happen on the same day again after 126 days.
Problem 2
Two machines operate on a cycle of 42 minutes, and 63 minutes, respectively. If they both start a new cycle at the same time, how long will it take for them to start together again?
The LCM of 42 and 63, which is 126 minutes.
Explanation
The machines will start their cycle together again after 126 minutes.
Problem 3
Find the smallest number that is divisible by 42 and 63 exactly.
by listing multiplication methods,
Multiples of 42: 42, 84, 126, 168
Multiples of 63:63, 126, 189
Therefore, the LCM of 42 and 63 is 126.
Explanation
The smallest number that can be divisible by 42 and 63 by exactly is 126. The LCM of 42 and 63 is 126.
FAQ on LCM of 42 and 63
1.What is the GCF of 42 and 63??
2.What is the LCM of 42 and 63?
3.What is the LCM of 42 and 66?
4.What is the LCM of 42 and 62?
5.What is the LCM of 42, 63 and 70?
6.How can children in Canada use numbers in everyday life to understand LCM of 42 and 63?
7.What are some fun ways kids in Canada can practice LCM of 42 and 63 with numbers?
8.What role do numbers and LCM of 42 and 63 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve LCM of 42 and 63 skills?
Important Glossaries of LCM of 42 and 63
- Factor: A number that will divide two or more numbers, leaving no remainder. For 18 and 24 we have 6 as a common factor, it means both 18 and 24 can be divisible by 6.
- Prime Factorization: When a number can be represented as the factors of prime numbers, it is called prime factorization. The prime factorization of 18 for example is 2×3×3.
- Greatest Common Factor (GCF): GCF is the greatest factor that is common in the given numbers. For example, the GCF of 5, 10, and 15 is 5. Because the common factors of 5 and 10 are 1 and 5.
- Division Method: In the division method, the numbers are divided by the smallest common prime factor till the numbers are reduced to 1.
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About BrightChamps in Canada
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
