Least Common Multiple of 343, 644
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 343, 644 i.e. 31556 smallest integer divisible by all numbers.
Least common multiple (LCM) of 343, 644 is 31556.
LCM(343, 644) = 31556
LCM of 343, 644
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 343, 644 by common division method
- Least Common Multiple of 343, 644 with GCF Formula
Least Common Multiple (LCM) of 343,644 is 31556
| 7 | 343, 644 |
| 49, 92 |
∴ So the LCM of the given numbers is 7 x 49 x 92 = 31556
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 343,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,644) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(343,644) x common factors =7 x 1 = 7
LCM(343,644) = ( 343 × 644 ) / 7
LCM(343,644) = 220892 / 7
LCM(343,644) = 31556
∴ Least Common Multiple of 343,644 is 31556
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 343, 644
1. What is the LCM of 343, 644?
Answer: LCM of 343, 644 is 31556.
2. What are the Factors of 31556?
Answer: Factors of 31556 are . There are integers that are factors of 31556
3. How to Find the LCM of 343, 644 ?
Least Common Multiple of 343, 644.
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(343, 644) = 2 x 2 x 7 x 7 x 7 x 23 = 31556.