Least Common Multiple of 33, 88, 780

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, 88, 780 i.e. 17160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 88, 780 is 17160.

LCM(33, 88, 780) = 17160

LCM of 33, 88, 780

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

LCM of:

Least Common Multiple of 33,88,780

Least Common Multiple (LCM) of 33,88,780 is 17160

2 33, 88, 780
2 33, 44, 390
3 33, 22, 195
11 11, 22, 65
1, 2, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 2 x 65 = 17160

Least Common Multiple of 33,88,780 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 33,88,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,88,780) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(33,88,780) x common factors =1 x 132 = 132

LCM(33,88,780) = ( 33 × 88 × 780 ) / 132

LCM(33,88,780) = 2265120 / 132

LCM(33,88,780) = 17160

∴ Least Common Multiple of 33,88,780 is 17160

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 33, 88, 780

1. What is the LCM of 33, 88, 780?

Answer: LCM of 33, 88, 780 is 17160.

2. What are the Factors of 17160?

Answer: Factors of 17160 are . There are integers that are factors of 17160

3. How to Find the LCM of 33, 88, 780 ?

Least Common Multiple of 33, 88, 780.

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, 88, 780) = 2 x 2 x 2 x 3 x 5 x 11 x 13 = 17160.