Least Common Multiple of 265/725, 5511/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/725, 5511/920 quickly i.e. 292083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/725, 5511/920 is 292083.

LCM(265/725, 5511/920) = 292083

LCM of 265/725, 5511/920

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 265/725,5511/920

Given numbers are 265/725,5511/920

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 265,5511

Least Common Multiple of Numerators i.e. LCM of 265,5511 is 1460415.

GCF of Denominators means GCF of 725,920 as per the given fractions.

GCF of 725,920 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,5511

LCM of Fractions 265/725,5511/920 is 292083

Given numbers has no common factors except 1. So, there LCM is their product i.e 1460415

Least Common Multiple of 265,5511 with GCF Formula

Least Common Multiple of 265,5511 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 265,5511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,5511) = 1

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

GCF(265,5511) x common factors =1 x 1 = 1

LCM(265,5511) = ( 265 × 5511 ) / 1

LCM(265,5511) = 1460415 / 1

LCM(265,5511) = 1460415


Lets's calculate GCF of 725,920

5 725, 920
145, 184

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1460415/5

Therefore the LCM of Fractions 265/725,5511/920 is 292083

Greatest Common Factor of 725,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,920 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 725,920 . The biggest common factor number is the GCF number.
So the greatest common factor 725,920 is 5.


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 265/725, 5511/920

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 265/725, 5511/920?

Answer: LCM of Numerators as per given numbers 265/725, 5511/920 is

LCM of Numerators i.e. for 265,5511 is 1460415

GCF of denominators i.e. for 725,920 is 5.

Thus, LCM of Fractions is 292083.Finally, LCM of Fractions for 265/725, 5511/920 is 292083.