Least Common Multiple of 21, 27, 738

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 21, 27, 738 i.e. 15498 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 27, 738 is 15498.

LCM(21, 27, 738) = 15498

LCM of 21, 27, 738

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

LCM of:

Least Common Multiple of 21,27,738

Least Common Multiple (LCM) of 21,27,738 is 15498

3 21, 27, 738
3 7, 9, 246
7, 3, 82

∴ So the LCM of the given numbers is 3 x 3 x 7 x 3 x 82 = 15498

Least Common Multiple of 21,27,738 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 21,27,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,27,738) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(21,27,738) x common factors =3 x 9 = 27

LCM(21,27,738) = ( 21 × 27 × 738 ) / 27

LCM(21,27,738) = 418446 / 27

LCM(21,27,738) = 15498

∴ Least Common Multiple of 21,27,738 is 15498

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 21, 27, 738

1. What is the LCM of 21, 27, 738?

Answer: LCM of 21, 27, 738 is 15498.

2. What are the Factors of 15498?

Answer: Factors of 15498 are . There are integers that are factors of 15498

3. How to Find the LCM of 21, 27, 738 ?

Least Common Multiple of 21, 27, 738.

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(21, 27, 738) = 2 x 3 x 3 x 3 x 7 x 41 = 15498.