Table Of Contents
160 LearnersLast updated on December 24th, 2024
LCM OF 35 and 40
Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 35 and 40. By learning the following tricks, you can learn the LCM of 35 and 40 easily.
What is the LCM of 35 and 40
The LCM of 35 and 40 is 280. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more numbers in different ways.
How to find the LCM of 35 and 40?
We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:
Method 1: Listing of Multiples
Method 2: Prime Factorization
Method 3: Division Method
Now let us delve further into these three methods and how it benefits us.
LCM of 35 and 40 Using Listing the Multiples
In this method, we will list all the multiples of 35 and 40. Then we will try to find a multiple that is present in both numbers.
For example,
Multiples of 35: 35,70,105,140,175,210,245,280,315
Multiples of 40:40,80,120,160,200,240,280,320
The LCM of 35 and 40 is 280. 280 is the smallest number which can be divisible by both 35 and 40.
LCM of 35 and 40 Using Prime Factorization
To find the LCM of 35 and 40 using the prime factorization method, we need to find out the prime factors of both the numbers. Then multiply the highest powers of the factors to get the LCM.
Prime Factors of 35: 51 ×71
Prime Factors of 40: 23 × 51
Multiply the highest power of both the factors: 51 x 71 x 23 = 280
Therefore, the LCM of 35 and 40 is 280.
LCM Of 35 and 40 Using Division Method
To calculate the LCM using the division method. We will divide the given numbers with their prime numbers. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the remainder becomes 1. By multiplying the prime factors, one can get LCM.
For finding the LCM of 35 and 40 we will use the following method.
By multiplying the prime divisors from the table, we will get the LCM of 35 and 40.
2 × 2 × 2 × 5 × 7 = 280
The LCM of 35 and 40 is 280.
Common Mistakes and How to Avoid Them in LCM of 35 and 40
LCM OF 35 and 40 Examples
Problem 1
Find the smallest number that is divisible by 35,40 exactly.
Explanation
Problem 2
Two trains cross the same station at different intervals. The first train crosses every 35 minutes, and the second train crosses every 40 minutes. If both trains cross the same station, when will they cross together?
Explanation
Problem 3
There are 2 boys Sheldon and Leonard. Raj plays valorant for 35 hours in a week and Leonard plays 40 hours a week. If they play today together, when will they play again?
Explanation
Problem 4
An artist was drawing his pictures every 35 minutes and a guitarist was playing his guitar every 40 minutes. If they both started working together today, after how many minutes could they work together again at the same time?
Explanation
Problem 5
John was jogging every 35 minutes on the ground, and Jack was jogging every 40 minutes. In how many minutes will they go jogging together?
Explanation
FAQs on Least Common Multiple of 35 and 40
1.What are the factors of 35?
2.What are the factors of 40?
3.How to solve LCM problems?
4. What is the LCM of 35 and 70?
5. What is the LCM of 30 and 35?
Important Glossaries on the LCM of 35 and 40
- Prime Number: Any number that has only 2 factors is called a prime number.For 5 and 7, only common factors are 1 and the number itself.
- Composite Number: Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10.
- Prime Factorization: It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number.
Explore More numbers
Previous to LCM OF 35 and 40
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.
