Least Common Multiple of 33, 42, 76, 120

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 33, 42, 76, 120 i.e. 175560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 42, 76, 120 is 175560.

LCM(33, 42, 76, 120) = 175560

LCM of 33, 42, 76, 120

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

LCM of:

Least Common Multiple of 33,42,76,120

Least Common Multiple (LCM) of 33,42,76,120 is 175560

2 33, 42, 76, 120
2 33, 21, 38, 60
3 33, 21, 19, 30
11, 7, 19, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 7 x 19 x 10 = 175560

Least Common Multiple of 33,42,76,120 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 33,42,76,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,42,76,120) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(33,42,76,120) x common factors =1 x 72 = 72

LCM(33,42,76,120) = ( 33 × 42 × 76 × 120 ) / 72

LCM(33,42,76,120) = 12640320 / 72

LCM(33,42,76,120) = 175560

∴ Least Common Multiple of 33,42,76,120 is 175560

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 33, 42, 76, 120

1. What is the LCM of 33, 42, 76, 120?

Answer: LCM of 33, 42, 76, 120 is 175560.

2. What are the Factors of 175560?

Answer: Factors of 175560 are . There are integers that are factors of 175560

3. How to Find the LCM of 33, 42, 76, 120 ?

Least Common Multiple of 33, 42, 76, 120.

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(33, 42, 76, 120) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 = 175560.