Least Common Multiple of 38, 78, 47, 114

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 38, 78, 47, 114 i.e. 69654 smallest integer divisible by all numbers.

Least common multiple (LCM) of 38, 78, 47, 114 is 69654.

LCM(38, 78, 47, 114) = 69654

LCM of 38, 78, 47, 114

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

LCM of:

Least Common Multiple of 38,78,47,114

Least Common Multiple (LCM) of 38,78,47,114 is 69654

2 38, 78, 47, 114
3 19, 39, 47, 57
19 19, 13, 47, 19
1, 13, 47, 1

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 13 x 47 x 1 = 69654

Least Common Multiple of 38,78,47,114 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 38,78,47,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,78,47,114) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(38,78,47,114) x common factors =1 x 228 = 228

LCM(38,78,47,114) = ( 38 × 78 × 47 × 114 ) / 228

LCM(38,78,47,114) = 15881112 / 228

LCM(38,78,47,114) = 69654

∴ Least Common Multiple of 38,78,47,114 is 69654

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 38, 78, 47, 114

1. What is the LCM of 38, 78, 47, 114?

Answer: LCM of 38, 78, 47, 114 is 69654.

2. What are the Factors of 69654?

Answer: Factors of 69654 are . There are integers that are factors of 69654

3. How to Find the LCM of 38, 78, 47, 114 ?

Least Common Multiple of 38, 78, 47, 114.

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(38, 78, 47, 114) = 2 x 3 x 13 x 19 x 47 = 69654.