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165 LearnersLast updated on November 29th, 2024
LCM of 56 and 70
The smallest positive integer that divides the numbers with no numbers left behind is the LCM of 56 and 70. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music. In this article, let’s now learn to find LCMs of 56 and 70.
What is LCM of 56 and 70
We can find the LCM using listing multiples method, prime factorization method and the long division method. These methods are explained here, apply a method that fits your understanding well.
LCM of 56 and 70 using listing multiples method
Step 1: List the multiples of each of the numbers;
56 = 56,112,168,224,280,…
70 = 70,140,210,280,…
Step 2: Find the smallest number in both the lists
LCM (56,70) = 280
LCM of 56 and 70 using prime factorization method
Step 1: Prime factorize the numbers
56 = 2×2×2×7
70 = 7×5×2
Step 2: find highest powers
Step 3: Multiply the highest powers of the numbers
LCM(56,70) = 280
LCM of 56 and 70 using division method
- Write the numbers in a row
- Divide them with a common prime factor
- Carry forward numbers that are left undivided
- Continue dividing until the remainder is ‘1’
- Multiply the divisors to find the LCM
- LCM (56,70) = 280
Common mistakes and how to avoid them in LCM of 56 and 70
LCM of 56 and 70 Examples
Problem 1
Find the missing number. If the LCM of 56 and a certain number is 280, what is the missing number?
Explanation
Problem 2
If the LCM of two numbers is 280, and the product of the two numbers is 3920, find the GCD of the two numbers.
Explanation
Problem 3
Find the smallest positive integer x such that the LCM of 56 and x is 840.
Explanation
FAQs on the LCM of 56 and 70
1.Find the ratio of 56 and 70?
2.How much is 56 of 70?
3.What is the LCM of 54 and 70?
4.List three common multiples of 70 and 56. ,What is the LCM of 55 and 70?
Important glossaries for LCM of 56 and 70
- Multiple: the result after multiplication of a number and an integer. To explain, 75×5 =375; 375 is a multiple of 75.
- Prime Factor: A number with only two factors, 1 and the number. For example,7, its factors are only 1 and 7 and the number when divided by any other integer will leave a remainder behind.
- Prime Factorization: breaking a number down into its prime factors. For example, 60 is written as the product of 2×2×3×5.
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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.
