Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 341, 718, 180, 240, 456 i.e. 1674691920 smallest integer divisible by all numbers.
Least common multiple (LCM) of 341, 718, 180, 240, 456 is 1674691920.
LCM(341, 718, 180, 240, 456) = 1674691920
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 341, 718, 180, 240, 456 |
2 | 341, 359, 90, 120, 228 |
2 | 341, 359, 45, 60, 114 |
3 | 341, 359, 45, 30, 57 |
5 | 341, 359, 15, 10, 19 |
341, 359, 3, 2, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 341 x 359 x 3 x 2 x 19 = 1674691920
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 341,718,180,240,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,718,180,240,456) = 1
common factors(in case of two or more numbers have common factors) = 2880
GCF(341,718,180,240,456) x common factors =1 x 2880 = 2880
LCM(341,718,180,240,456) = ( 341 × 718 × 180 × 240 × 456 ) / 2880
LCM(341,718,180,240,456) = 4823112729600 / 2880
LCM(341,718,180,240,456) = 1674691920
∴ Least Common Multiple of 341,718,180,240,456 is 1674691920
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 718, 180, 240, 456?
Answer: LCM of 341, 718, 180, 240, 456 is 1674691920.
2. What are the Factors of 1674691920?
Answer: Factors of 1674691920 are . There are integers that are factors of 1674691920
3. How to Find the LCM of 341, 718, 180, 240, 456 ?
Least Common Multiple of 341, 718, 180, 240, 456.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(341, 718, 180, 240, 456) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 31 x 359 = 1674691920.