Least Common Multiple of 48, 66, 48, 714

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, 66, 48, 714 i.e. 62832 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 66, 48, 714 is 62832.

LCM(48, 66, 48, 714) = 62832

LCM of 48, 66, 48, 714

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

LCM of:

Least Common Multiple of 48,66,48,714

Least Common Multiple (LCM) of 48,66,48,714 is 62832

2 48, 66, 48, 714
2 24, 33, 24, 357
2 12, 33, 12, 357
2 6, 33, 6, 357
3 3, 33, 3, 357
1, 11, 1, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 11 x 1 x 119 = 62832

Least Common Multiple of 48,66,48,714 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 48,66,48,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,66,48,714) = 6

common factors(in case of two or more numbers have common factors) = 288

GCF(48,66,48,714) x common factors =6 x 288 = 1728

LCM(48,66,48,714) = ( 48 × 66 × 48 × 714 ) / 1728

LCM(48,66,48,714) = 108573696 / 1728

LCM(48,66,48,714) = 62832

∴ Least Common Multiple of 48,66,48,714 is 62832

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 48, 66, 48, 714

1. What is the LCM of 48, 66, 48, 714?

Answer: LCM of 48, 66, 48, 714 is 62832.

2. What are the Factors of 62832?

Answer: Factors of 62832 are . There are integers that are factors of 62832

3. How to Find the LCM of 48, 66, 48, 714 ?

Least Common Multiple of 48, 66, 48, 714.

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, 66, 48, 714) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17 = 62832.