Least Common Multiple of 684, 7148, 580

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 684, 7148, 580 i.e. 177234660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 684, 7148, 580 is 177234660.

LCM(684, 7148, 580) = 177234660

LCM of 684, 7148, 580

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

LCM of:

Least Common Multiple of 684,7148,580

Least Common Multiple (LCM) of 684,7148,580 is 177234660

2 684, 7148, 580
2 342, 3574, 290
171, 1787, 145

∴ So the LCM of the given numbers is 2 x 2 x 171 x 1787 x 145 = 177234660

Least Common Multiple of 684,7148,580 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 684,7148,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,7148,580) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(684,7148,580) x common factors =4 x 4 = 16

LCM(684,7148,580) = ( 684 × 7148 × 580 ) / 16

LCM(684,7148,580) = 2835754560 / 16

LCM(684,7148,580) = 177234660

∴ Least Common Multiple of 684,7148,580 is 177234660

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 684, 7148, 580

1. What is the LCM of 684, 7148, 580?

Answer: LCM of 684, 7148, 580 is 177234660.

2. What are the Factors of 177234660?

Answer: Factors of 177234660 are . There are integers that are factors of 177234660

3. How to Find the LCM of 684, 7148, 580 ?

Least Common Multiple of 684, 7148, 580.

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(684, 7148, 580) = 2 x 2 x 3 x 3 x 5 x 19 x 29 x 1787 = 177234660.