Least Common Multiple of 33, 21, 649

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, 21, 649 i.e. 13629 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 21, 649 is 13629.

LCM(33, 21, 649) = 13629

LCM of 33, 21, 649

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

LCM of:

Least Common Multiple of 33,21,649

Least Common Multiple (LCM) of 33,21,649 is 13629

3 33, 21, 649
11 11, 7, 649
1, 7, 59

∴ So the LCM of the given numbers is 3 x 11 x 1 x 7 x 59 = 13629

Least Common Multiple of 33,21,649 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 33,21,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,21,649) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,21,649) x common factors =1 x 33 = 33

LCM(33,21,649) = ( 33 × 21 × 649 ) / 33

LCM(33,21,649) = 449757 / 33

LCM(33,21,649) = 13629

∴ Least Common Multiple of 33,21,649 is 13629

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 33, 21, 649

1. What is the LCM of 33, 21, 649?

Answer: LCM of 33, 21, 649 is 13629.

2. What are the Factors of 13629?

Answer: Factors of 13629 are . There are integers that are factors of 13629

3. How to Find the LCM of 33, 21, 649 ?

Least Common Multiple of 33, 21, 649.

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, 21, 649) = 3 x 7 x 11 x 59 = 13629.