Least Common Multiple of 9577/95, 5456/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9577/95, 5456/480 quickly i.e. 52252112/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9577/95, 5456/480 is 52252112/5.

LCM(9577/95, 5456/480) = 52252112/5

LCM of 9577/95, 5456/480

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 9577/95,5456/480

Given numbers are 9577/95,5456/480

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 9577,5456

Least Common Multiple of Numerators i.e. LCM of 9577,5456 is 52252112.

GCF of Denominators means GCF of 95,480 as per the given fractions.

GCF of 95,480 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9577,5456

LCM of Fractions 9577/95,5456/480 is 52252112/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 52252112

Least Common Multiple of 9577,5456 with GCF Formula

Least Common Multiple of 9577,5456 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 9577,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9577,5456) = 1

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

GCF(9577,5456) x common factors =1 x 1 = 1

LCM(9577,5456) = ( 9577 × 5456 ) / 1

LCM(9577,5456) = 52252112 / 1

LCM(9577,5456) = 52252112


Lets's calculate GCF of 95,480

5 95, 480
19, 96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52252112/5

Therefore the LCM of Fractions 9577/95,5456/480 is 52252112/5

Greatest Common Factor of 95,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,480 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 95,480 . The biggest common factor number is the GCF number.
So the greatest common factor 95,480 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 9577/95, 5456/480

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 9577/95, 5456/480?

Answer: LCM of Numerators as per given numbers 9577/95, 5456/480 is

LCM of Numerators i.e. for 9577,5456 is 52252112

GCF of denominators i.e. for 95,480 is 5.

Thus, LCM of Fractions is 52252112/5.Finally, LCM of Fractions for 9577/95, 5456/480 is 52252112/5.