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 113, 341, 352, 187, 416 i.e. 272505376 smallest integer divisible by all numbers.
Least common multiple (LCM) of 113, 341, 352, 187, 416 is 272505376.
LCM(113, 341, 352, 187, 416) = 272505376
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 113, 341, 352, 187, 416 |
2 | 113, 341, 176, 187, 208 |
2 | 113, 341, 88, 187, 104 |
2 | 113, 341, 44, 187, 52 |
2 | 113, 341, 22, 187, 26 |
11 | 113, 341, 11, 187, 13 |
113, 31, 1, 17, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 113 x 31 x 1 x 17 x 13 = 272505376
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 113,341,352,187,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,341,352,187,416) = 1
common factors(in case of two or more numbers have common factors) = 3872
GCF(113,341,352,187,416) x common factors =1 x 3872 = 3872
LCM(113,341,352,187,416) = ( 113 × 341 × 352 × 187 × 416 ) / 3872
LCM(113,341,352,187,416) = 1055140815872 / 3872
LCM(113,341,352,187,416) = 272505376
∴ Least Common Multiple of 113,341,352,187,416 is 272505376
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 341, 352, 187, 416?
Answer: LCM of 113, 341, 352, 187, 416 is 272505376.
2. What are the Factors of 272505376?
Answer: Factors of 272505376 are . There are integers that are factors of 272505376
3. How to Find the LCM of 113, 341, 352, 187, 416 ?
Least Common Multiple of 113, 341, 352, 187, 416.
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(113, 341, 352, 187, 416) = 2 x 2 x 2 x 2 x 2 x 11 x 13 x 17 x 31 x 113 = 272505376.