Least Common Multiple of 88/884, 79/660, 576/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/884, 79/660, 576/870 quickly i.e. 250272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/884, 79/660, 576/870 is 250272.

LCM(88/884, 79/660, 576/870) = 250272

LCM of 88/884, 79/660, 576/870

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 88/884,79/660,576/870

Given numbers are 88/884,79/660,576/870

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 88,79,576

Least Common Multiple of Numerators i.e. LCM of 88,79,576 is 500544.

GCF of Denominators means GCF of 884,660,870 as per the given fractions.

GCF of 884,660,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,79,576

LCM of Fractions 88/884,79/660,576/870 is 250272

2 88, 79, 576
2 44, 79, 288
2 22, 79, 144
11, 79, 72

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 79 x 72 = 500544

Least Common Multiple of 88,79,576 with GCF Formula

Least Common Multiple of 88,79,576 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 88,79,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,79,576) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(88,79,576) x common factors =1 x 8 = 8

LCM(88,79,576) = ( 88 × 79 × 576 ) / 8

LCM(88,79,576) = 4004352 / 8

LCM(88,79,576) = 500544


Lets's calculate GCF of 884,660,870

2 884, 660, 870
442, 330, 435

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500544/2

Therefore the LCM of Fractions 88/884,79/660,576/870 is 250272

Greatest Common Factor of 884,660,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,660,870 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 884,660,870 . The biggest common factor number is the GCF number.
So the greatest common factor 884,660,870 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/884, 79/660, 576/870

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 88/884, 79/660, 576/870?

Answer: LCM of Numerators as per given numbers 88/884, 79/660, 576/870 is

LCM of Numerators i.e. for 88,79,576 is 500544

GCF of denominators i.e. for 884,660,870 is 2.

Thus, LCM of Fractions is 250272.Finally, LCM of Fractions for 88/884, 79/660, 576/870 is 250272.