Least Common Multiple of 724/121, 342/607, 308/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 724/121, 342/607, 308/225 quickly i.e. 9532908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/121, 342/607, 308/225 is 9532908.

LCM(724/121, 342/607, 308/225) = 9532908

LCM of 724/121, 342/607, 308/225

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 724/121,342/607,308/225

Given numbers are 724/121,342/607,308/225

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 724,342,308

Least Common Multiple of Numerators i.e. LCM of 724,342,308 is 9532908.

GCF of Denominators means GCF of 121,607,225 as per the given fractions.

GCF of 121,607,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,342,308

LCM of Fractions 724/121,342/607,308/225 is 9532908

2 724, 342, 308
2 362, 171, 154
181, 171, 77

∴ So the LCM of the given numbers is 2 x 2 x 181 x 171 x 77 = 9532908

Least Common Multiple of 724,342,308 with GCF Formula

Least Common Multiple of 724,342,308 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 724,342,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,342,308) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(724,342,308) x common factors =2 x 4 = 8

LCM(724,342,308) = ( 724 × 342 × 308 ) / 8

LCM(724,342,308) = 76263264 / 8

LCM(724,342,308) = 9532908


Lets's calculate GCF of 121,607,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9532908/1

Therefore the LCM of Fractions 724/121,342/607,308/225 is 9532908

Greatest Common Factor of 121,607,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,607,225 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 607

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

1,607

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 121,607,225 . The biggest common factor number is the GCF number.
So the greatest common factor 121,607,225 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 724/121, 342/607, 308/225

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 724/121, 342/607, 308/225?

Answer: LCM of Numerators as per given numbers 724/121, 342/607, 308/225 is

LCM of Numerators i.e. for 724,342,308 is 9532908

GCF of denominators i.e. for 121,607,225 is 1.

Thus, LCM of Fractions is 9532908.Finally, LCM of Fractions for 724/121, 342/607, 308/225 is 9532908.