Least Common Multiple of 48, 15, 38, 779

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 48, 15, 38, 779 i.e. 186960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 15, 38, 779 is 186960.

LCM(48, 15, 38, 779) = 186960

LCM of 48, 15, 38, 779

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

LCM of:

Least Common Multiple of 48,15,38,779

Least Common Multiple (LCM) of 48,15,38,779 is 186960

2 48, 15, 38, 779
3 24, 15, 19, 779
19 8, 5, 19, 779
8, 5, 1, 41

∴ So the LCM of the given numbers is 2 x 3 x 19 x 8 x 5 x 1 x 41 = 186960

Least Common Multiple of 48,15,38,779 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 48,15,38,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,15,38,779) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(48,15,38,779) x common factors =1 x 114 = 114

LCM(48,15,38,779) = ( 48 × 15 × 38 × 779 ) / 114

LCM(48,15,38,779) = 21313440 / 114

LCM(48,15,38,779) = 186960

∴ Least Common Multiple of 48,15,38,779 is 186960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 48, 15, 38, 779

1. What is the LCM of 48, 15, 38, 779?

Answer: LCM of 48, 15, 38, 779 is 186960.

2. What are the Factors of 186960?

Answer: Factors of 186960 are . There are integers that are factors of 186960

3. How to Find the LCM of 48, 15, 38, 779 ?

Least Common Multiple of 48, 15, 38, 779.

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(48, 15, 38, 779) = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 41 = 186960.