Least Common Multiple of 87/735, 318/584, 648/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/735, 318/584, 648/426 quickly i.e. 995976 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, 318/584, 648/426 is 995976.

LCM(87/735, 318/584, 648/426) = 995976

LCM of 87/735, 318/584, 648/426

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 87/735,318/584,648/426

Given numbers are 87/735,318/584,648/426

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 87,318,648

Least Common Multiple of Numerators i.e. LCM of 87,318,648 is 995976.

GCF of Denominators means GCF of 735,584,426 as per the given fractions.

GCF of 735,584,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,318,648

LCM of Fractions 87/735,318/584,648/426 is 995976

2 87, 318, 648
3 87, 159, 324
29, 53, 108

∴ So the LCM of the given numbers is 2 x 3 x 29 x 53 x 108 = 995976

Least Common Multiple of 87,318,648 with GCF Formula

Least Common Multiple of 87,318,648 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 87,318,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,318,648) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(87,318,648) x common factors =3 x 6 = 18

LCM(87,318,648) = ( 87 × 318 × 648 ) / 18

LCM(87,318,648) = 17927568 / 18

LCM(87,318,648) = 995976


Lets's calculate GCF of 735,584,426

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 995976/1

Therefore the LCM of Fractions 87/735,318/584,648/426 is 995976

Greatest Common Factor of 735,584,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,584,426 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 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 735,584,426 . The biggest common factor number is the GCF number.
So the greatest common factor 735,584,426 is 1.


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, 318/584, 648/426

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, 318/584, 648/426?

Answer: LCM of Numerators as per given numbers 87/735, 318/584, 648/426 is

LCM of Numerators i.e. for 87,318,648 is 995976

GCF of denominators i.e. for 735,584,426 is 1.

Thus, LCM of Fractions is 995976.Finally, LCM of Fractions for 87/735, 318/584, 648/426 is 995976.