Least Common Multiple of 66, 21, 975, 330

Q: How to Find the LCM of 66, 21, 975, 330 ?

Least Common Multiple of 66, 21, 975, 330 = 150150 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(66, 21, 975, 330) = 2 x 3 x 5 x 5 x 7 x 11 x 13 = 150150.

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 66, 21, 975, 330 i.e. 150150 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 21, 975, 330 is 150150.

LCM(66, 21, 975, 330) = 150150

LCM of 66, 21, 975, 330

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

Least Common Multiple of 66, 21, 975, 330 by common division method
Least Common Multiple of 66, 21, 975, 330 with GCF Formula

Least Common Multiple of 66,21,975,330

Least Common Multiple (LCM) of 66,21,975,330 is 150150

2	66, 21, 975, 330
3	33, 21, 975, 165
5	11, 7, 325, 55
11	11, 7, 65, 11
	1, 7, 65, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 7 x 65 x 1 = 150150

Least Common Multiple of 66,21,975,330 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,21,975,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,21,975,330) = 3

common factors(in case of two or more numbers have common factors) = 990

GCF(66,21,975,330) x common factors =3 x 990 = 2970

LCM(66,21,975,330) = ( 66 × 21 × 975 × 330 ) / 2970

LCM(66,21,975,330) = 445945500 / 2970

LCM(66,21,975,330) = 150150

∴ Least Common Multiple of 66,21,975,330 is 150150

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 66, 21, 975, 330

1. What is the LCM of 66, 21, 975, 330?

Answer: LCM of 66, 21, 975, 330 is 150150.

2. What are the Factors of 150150?

Answer: Factors of 150150 are . There are integers that are factors of 150150

3. How to Find the LCM of 66, 21, 975, 330 ?

Least Common Multiple of 66, 21, 975, 330.

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(66, 21, 975, 330) = 2 x 3 x 5 x 5 x 7 x 11 x 13 = 150150.