Least Common Multiple of 84, 36, 14, 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 84, 36, 14, 314 i.e. 39564 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 36, 14, 314 is 39564.

LCM(84, 36, 14, 314) = 39564

LCM of 84, 36, 14, 314

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 84,36,14,314

Least Common Multiple (LCM) of 84,36,14,314 is 39564

2 84, 36, 14, 314
2 42, 18, 7, 157
3 21, 9, 7, 157
7 7, 3, 7, 157
1, 3, 1, 157

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 3 x 1 x 157 = 39564

Least Common Multiple of 84,36,14,314 with GCF Formula

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 84,36,14,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,36,14,314) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(84,36,14,314) x common factors =2 x 168 = 336

LCM(84,36,14,314) = ( 84 × 36 × 14 × 314 ) / 336

LCM(84,36,14,314) = 13293504 / 336

LCM(84,36,14,314) = 39564

∴ Least Common Multiple of 84,36,14,314 is 39564

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 84, 36, 14, 314

1. What is the LCM of 84, 36, 14, 314?

Answer: LCM of 84, 36, 14, 314 is 39564.

2. What are the Factors of 39564?

Answer: Factors of 39564 are . There are integers that are factors of 39564

3. How to Find the LCM of 84, 36, 14, 314 ?

Least Common Multiple of 84, 36, 14, 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(84, 36, 14, 314) = 2 x 2 x 3 x 3 x 7 x 157 = 39564.