Least Common Multiple of 72, 18, 317
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 72, 18, 317 i.e. 22824 smallest integer divisible by all numbers.
Least common multiple (LCM) of 72, 18, 317 is 22824.
LCM(72, 18, 317) = 22824
LCM of 72, 18, 317
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 72, 18, 317 by common division method
- Least Common Multiple of 72, 18, 317 with GCF Formula
Least Common Multiple (LCM) of 72,18,317 is 22824
| 2 | 72, 18, 317 |
| 3 | 36, 9, 317 |
| 3 | 12, 3, 317 |
| 4, 1, 317 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 1 x 317 = 22824
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 72,18,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,18,317) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(72,18,317) x common factors =1 x 18 = 18
LCM(72,18,317) = ( 72 × 18 × 317 ) / 18
LCM(72,18,317) = 410832 / 18
LCM(72,18,317) = 22824
∴ Least Common Multiple of 72,18,317 is 22824
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 72, 18, 317
1. What is the LCM of 72, 18, 317?
Answer: LCM of 72, 18, 317 is 22824.
2. What are the Factors of 22824?
Answer: Factors of 22824 are . There are integers that are factors of 22824
3. How to Find the LCM of 72, 18, 317 ?
Least Common Multiple of 72, 18, 317.
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(72, 18, 317) = 2 x 2 x 2 x 3 x 3 x 317 = 22824.