Least Common Multiple of 9153/480, 5311/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9153/480, 5311/927 quickly i.e. 143397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9153/480, 5311/927 is 143397.

LCM(9153/480, 5311/927) = 143397

LCM of 9153/480, 5311/927

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 9153/480,5311/927

Given numbers are 9153/480,5311/927

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 9153,5311

Least Common Multiple of Numerators i.e. LCM of 9153,5311 is 430191.

GCF of Denominators means GCF of 480,927 as per the given fractions.

GCF of 480,927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9153,5311

LCM of Fractions 9153/480,5311/927 is 143397

113 9153, 5311
81, 47

∴ So the LCM of the given numbers is 113 x 81 x 47 = 430191

Least Common Multiple of 9153,5311 with GCF Formula

Least Common Multiple of 9153,5311 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 9153,5311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9153,5311) = 113

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

GCF(9153,5311) x common factors =113 x 1 = 113

LCM(9153,5311) = ( 9153 × 5311 ) / 113

LCM(9153,5311) = 48611583 / 113

LCM(9153,5311) = 430191


Lets's calculate GCF of 480,927

3 480, 927
160, 309

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430191/3

Therefore the LCM of Fractions 9153/480,5311/927 is 143397

Greatest Common Factor of 480,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,927 By Matching Biggest Common Factor Method

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

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 480,927 . The biggest common factor number is the GCF number.
So the greatest common factor 480,927 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9153/480, 5311/927

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 9153/480, 5311/927?

Answer: LCM of Numerators as per given numbers 9153/480, 5311/927 is

LCM of Numerators i.e. for 9153,5311 is 430191

GCF of denominators i.e. for 480,927 is 3.

Thus, LCM of Fractions is 143397.Finally, LCM of Fractions for 9153/480, 5311/927 is 143397.