Least Common Multiple of 920/731, 363/540, 263/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 920/731, 363/540, 263/607 quickly i.e. 87831480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/731, 363/540, 263/607 is 87831480.

LCM(920/731, 363/540, 263/607) = 87831480

LCM of 920/731, 363/540, 263/607

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 920/731,363/540,263/607

Given numbers are 920/731,363/540,263/607

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 920,363,263

Least Common Multiple of Numerators i.e. LCM of 920,363,263 is 87831480.

GCF of Denominators means GCF of 731,540,607 as per the given fractions.

GCF of 731,540,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,363,263

LCM of Fractions 920/731,363/540,263/607 is 87831480

Given numbers has no common factors except 1. So, there LCM is their product i.e 87831480

Least Common Multiple of 920,363,263 with GCF Formula

Least Common Multiple of 920,363,263 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 920,363,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,363,263) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(920,363,263) x common factors =1 x 1 = 1

LCM(920,363,263) = ( 920 × 363 × 263 ) / 1

LCM(920,363,263) = 87831480 / 1

LCM(920,363,263) = 87831480


Lets's calculate GCF of 731,540,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87831480/1

Therefore the LCM of Fractions 920/731,363/540,263/607 is 87831480

Greatest Common Factor of 731,540,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,540,607 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 731,540,607 . The biggest common factor number is the GCF number.
So the greatest common factor 731,540,607 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 920/731, 363/540, 263/607

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 920/731, 363/540, 263/607?

Answer: LCM of Numerators as per given numbers 920/731, 363/540, 263/607 is

LCM of Numerators i.e. for 920,363,263 is 87831480

GCF of denominators i.e. for 731,540,607 is 1.

Thus, LCM of Fractions is 87831480.Finally, LCM of Fractions for 920/731, 363/540, 263/607 is 87831480.