Least Common Multiple of 39, 78, 14, 689

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 39, 78, 14, 689 i.e. 28938 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 78, 14, 689 is 28938.

LCM(39, 78, 14, 689) = 28938

LCM of 39, 78, 14, 689

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

LCM of:

Least Common Multiple of 39,78,14,689

Least Common Multiple (LCM) of 39,78,14,689 is 28938

2 39, 78, 14, 689
3 39, 39, 7, 689
13 13, 13, 7, 689
1, 1, 7, 53

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 7 x 53 = 28938

Least Common Multiple of 39,78,14,689 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 39,78,14,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,78,14,689) = 1

common factors(in case of two or more numbers have common factors) = 1014

GCF(39,78,14,689) x common factors =1 x 1014 = 1014

LCM(39,78,14,689) = ( 39 × 78 × 14 × 689 ) / 1014

LCM(39,78,14,689) = 29343132 / 1014

LCM(39,78,14,689) = 28938

∴ Least Common Multiple of 39,78,14,689 is 28938

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 39, 78, 14, 689

1. What is the LCM of 39, 78, 14, 689?

Answer: LCM of 39, 78, 14, 689 is 28938.

2. What are the Factors of 28938?

Answer: Factors of 28938 are . There are integers that are factors of 28938

3. How to Find the LCM of 39, 78, 14, 689 ?

Least Common Multiple of 39, 78, 14, 689.

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(39, 78, 14, 689) = 2 x 3 x 7 x 13 x 53 = 28938.