Least Common Multiple of 552, 548, 69

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 552, 548, 69 i.e. 75624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 552, 548, 69 is 75624.

LCM(552, 548, 69) = 75624

LCM of 552, 548, 69

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

LCM of:

Least Common Multiple of 552,548,69

Least Common Multiple (LCM) of 552,548,69 is 75624

2 552, 548, 69
2 276, 274, 69
3 138, 137, 69
23 46, 137, 23
2, 137, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 2 x 137 x 1 = 75624

Least Common Multiple of 552,548,69 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 552,548,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,548,69) = 1

common factors(in case of two or more numbers have common factors) = 276

GCF(552,548,69) x common factors =1 x 276 = 276

LCM(552,548,69) = ( 552 × 548 × 69 ) / 276

LCM(552,548,69) = 20872224 / 276

LCM(552,548,69) = 75624

∴ Least Common Multiple of 552,548,69 is 75624

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 552, 548, 69

1. What is the LCM of 552, 548, 69?

Answer: LCM of 552, 548, 69 is 75624.

2. What are the Factors of 75624?

Answer: Factors of 75624 are . There are integers that are factors of 75624

3. How to Find the LCM of 552, 548, 69 ?

Least Common Multiple of 552, 548, 69.

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(552, 548, 69) = 2 x 2 x 2 x 3 x 23 x 137 = 75624.