Least Common Multiple of 87/735, 248/939, 988/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/735, 248/939, 988/564 quickly i.e. 1776424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/735, 248/939, 988/564 is 1776424.

LCM(87/735, 248/939, 988/564) = 1776424

LCM of 87/735, 248/939, 988/564

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 87/735,248/939,988/564

Given numbers are 87/735,248/939,988/564

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 87,248,988

Least Common Multiple of Numerators i.e. LCM of 87,248,988 is 5329272.

GCF of Denominators means GCF of 735,939,564 as per the given fractions.

GCF of 735,939,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,248,988

LCM of Fractions 87/735,248/939,988/564 is 1776424

2 87, 248, 988
2 87, 124, 494
87, 62, 247

∴ So the LCM of the given numbers is 2 x 2 x 87 x 62 x 247 = 5329272

Least Common Multiple of 87,248,988 with GCF Formula

Least Common Multiple of 87,248,988 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 87,248,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,248,988) = 1

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

GCF(87,248,988) x common factors =1 x 4 = 4

LCM(87,248,988) = ( 87 × 248 × 988 ) / 4

LCM(87,248,988) = 21317088 / 4

LCM(87,248,988) = 5329272


Lets's calculate GCF of 735,939,564

3 735, 939, 564
245, 313, 188

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5329272/3

Therefore the LCM of Fractions 87/735,248/939,988/564 is 1776424

Greatest Common Factor of 735,939,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,939,564 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 735,939,564 . The biggest common factor number is the GCF number.
So the greatest common factor 735,939,564 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 87/735, 248/939, 988/564

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 87/735, 248/939, 988/564?

Answer: LCM of Numerators as per given numbers 87/735, 248/939, 988/564 is

LCM of Numerators i.e. for 87,248,988 is 5329272

GCF of denominators i.e. for 735,939,564 is 3.

Thus, LCM of Fractions is 1776424.Finally, LCM of Fractions for 87/735, 248/939, 988/564 is 1776424.