Least Common Multiple of 87/729, 742/925, 292/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/729, 742/925, 292/240 quickly i.e. 9424884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/729, 742/925, 292/240 is 9424884.

LCM(87/729, 742/925, 292/240) = 9424884

LCM of 87/729, 742/925, 292/240

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 87/729,742/925,292/240

Given numbers are 87/729,742/925,292/240

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 87,742,292

Least Common Multiple of Numerators i.e. LCM of 87,742,292 is 9424884.

GCF of Denominators means GCF of 729,925,240 as per the given fractions.

GCF of 729,925,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,742,292

LCM of Fractions 87/729,742/925,292/240 is 9424884

2 87, 742, 292
87, 371, 146

∴ So the LCM of the given numbers is 2 x 87 x 371 x 146 = 9424884

Least Common Multiple of 87,742,292 with GCF Formula

Least Common Multiple of 87,742,292 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 87,742,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,742,292) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,742,292) x common factors =1 x 2 = 2

LCM(87,742,292) = ( 87 × 742 × 292 ) / 2

LCM(87,742,292) = 18849768 / 2

LCM(87,742,292) = 9424884


Lets's calculate GCF of 729,925,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9424884/1

Therefore the LCM of Fractions 87/729,742/925,292/240 is 9424884

Greatest Common Factor of 729,925,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,925,240 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 729,925,240 . The biggest common factor number is the GCF number.
So the greatest common factor 729,925,240 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 87/729, 742/925, 292/240

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 87/729, 742/925, 292/240?

Answer: LCM of Numerators as per given numbers 87/729, 742/925, 292/240 is

LCM of Numerators i.e. for 87,742,292 is 9424884

GCF of denominators i.e. for 729,925,240 is 1.

Thus, LCM of Fractions is 9424884.Finally, LCM of Fractions for 87/729, 742/925, 292/240 is 9424884.