Least Common Multiple of 174, 989, 552

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 174, 989, 552 i.e. 688344 smallest integer divisible by all numbers.

Least common multiple (LCM) of 174, 989, 552 is 688344.

LCM(174, 989, 552) = 688344

LCM of 174, 989, 552

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

LCM of:

Least Common Multiple of 174,989,552

Least Common Multiple (LCM) of 174,989,552 is 688344

2 174, 989, 552
3 87, 989, 276
23 29, 989, 92
29, 43, 4

∴ So the LCM of the given numbers is 2 x 3 x 23 x 29 x 43 x 4 = 688344

Least Common Multiple of 174,989,552 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 174,989,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,989,552) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(174,989,552) x common factors =1 x 138 = 138

LCM(174,989,552) = ( 174 × 989 × 552 ) / 138

LCM(174,989,552) = 94991472 / 138

LCM(174,989,552) = 688344

∴ Least Common Multiple of 174,989,552 is 688344

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 174, 989, 552

1. What is the LCM of 174, 989, 552?

Answer: LCM of 174, 989, 552 is 688344.

2. What are the Factors of 688344?

Answer: Factors of 688344 are . There are integers that are factors of 688344

3. How to Find the LCM of 174, 989, 552 ?

Least Common Multiple of 174, 989, 552.

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(174, 989, 552) = 2 x 2 x 2 x 3 x 23 x 29 x 43 = 688344.