Least Common Multiple of 722/94, 312/2725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 722/94, 312/2725 quickly i.e. 112632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/94, 312/2725 is 112632.

LCM(722/94, 312/2725) = 112632

LCM of 722/94, 312/2725

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 722/94,312/2725

Given numbers are 722/94,312/2725

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 722,312

Least Common Multiple of Numerators i.e. LCM of 722,312 is 112632.

GCF of Denominators means GCF of 94,2725 as per the given fractions.

GCF of 94,2725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,312

LCM of Fractions 722/94,312/2725 is 112632

2 722, 312
361, 156

∴ So the LCM of the given numbers is 2 x 361 x 156 = 112632

Least Common Multiple of 722,312 with GCF Formula

Least Common Multiple of 722,312 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 722,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,312) = 2

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

GCF(722,312) x common factors =2 x 1 = 2

LCM(722,312) = ( 722 × 312 ) / 2

LCM(722,312) = 225264 / 2

LCM(722,312) = 112632


Lets's calculate GCF of 94,2725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112632/1

Therefore the LCM of Fractions 722/94,312/2725 is 112632

Greatest Common Factor of 94,2725 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,2725 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 2725

List of positive integer factors of 2725 that divides 2725 without a remainder.

1,5,25,109,545,2725

Greatest Common Factor

We found the factors 94,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2725 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 722/94, 312/2725

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 722/94, 312/2725?

Answer: LCM of Numerators as per given numbers 722/94, 312/2725 is

LCM of Numerators i.e. for 722,312 is 112632

GCF of denominators i.e. for 94,2725 is 1.

Thus, LCM of Fractions is 112632.Finally, LCM of Fractions for 722/94, 312/2725 is 112632.