Least Common Multiple of 688, 314
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 688, 314 i.e. 108016 smallest integer divisible by all numbers.
Least common multiple (LCM) of 688, 314 is 108016.
LCM(688, 314) = 108016
LCM of 688, 314
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 688, 314 by common division method
- Least Common Multiple of 688, 314 with GCF Formula
Least Common Multiple (LCM) of 688,314 is 108016
| 2 | 688, 314 |
| 344, 157 |
∴ So the LCM of the given numbers is 2 x 344 x 157 = 108016
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 688,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,314) x common factors =2 x 1 = 2
LCM(688,314) = ( 688 × 314 ) / 2
LCM(688,314) = 216032 / 2
LCM(688,314) = 108016
∴ Least Common Multiple of 688,314 is 108016
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Frequently Asked Questions on LCM of 688, 314
1. What is the LCM of 688, 314?
Answer: LCM of 688, 314 is 108016.
2. What are the Factors of 108016?
Answer: Factors of 108016 are . There are integers that are factors of 108016
3. How to Find the LCM of 688, 314 ?
Least Common Multiple of 688, 314.
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(688, 314) = 2 x 2 x 2 x 2 x 43 x 157 = 108016.