Least Common Multiple of 528, 9960

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 528, 9960 i.e. 219120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 528, 9960 is 219120.

LCM(528, 9960) = 219120

LCM of 528, 9960

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

LCM of:

Least Common Multiple of 528,9960

Least Common Multiple (LCM) of 528,9960 is 219120

2 528, 9960
2 264, 4980
2 132, 2490
3 66, 1245
22, 415

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 22 x 415 = 219120

Least Common Multiple of 528,9960 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 528,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,9960) = 24

common factors(in case of two or more numbers have common factors) = 1

GCF(528,9960) x common factors =24 x 1 = 24

LCM(528,9960) = ( 528 × 9960 ) / 24

LCM(528,9960) = 5258880 / 24

LCM(528,9960) = 219120

∴ Least Common Multiple of 528,9960 is 219120

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 528, 9960

1. What is the LCM of 528, 9960?

Answer: LCM of 528, 9960 is 219120.

2. What are the Factors of 219120?

Answer: Factors of 219120 are . There are integers that are factors of 219120

3. How to Find the LCM of 528, 9960 ?

Least Common Multiple of 528, 9960.

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(528, 9960) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 83 = 219120.