Least Common Multiple of 571/914, 7272/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 571/914, 7272/322 quickly i.e. 2076156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/914, 7272/322 is 2076156.

LCM(571/914, 7272/322) = 2076156

LCM of 571/914, 7272/322

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 571/914,7272/322

Given numbers are 571/914,7272/322

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 571,7272

Least Common Multiple of Numerators i.e. LCM of 571,7272 is 4152312.

GCF of Denominators means GCF of 914,322 as per the given fractions.

GCF of 914,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,7272

LCM of Fractions 571/914,7272/322 is 2076156

Given numbers has no common factors except 1. So, there LCM is their product i.e 4152312

Least Common Multiple of 571,7272 with GCF Formula

Least Common Multiple of 571,7272 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 571,7272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,7272) = 1

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

GCF(571,7272) x common factors =1 x 1 = 1

LCM(571,7272) = ( 571 × 7272 ) / 1

LCM(571,7272) = 4152312 / 1

LCM(571,7272) = 4152312


Lets's calculate GCF of 914,322

2 914, 322
457, 161

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4152312/2

Therefore the LCM of Fractions 571/914,7272/322 is 2076156

Greatest Common Factor of 914,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,322 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 914,322 . The biggest common factor number is the GCF number.
So the greatest common factor 914,322 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 571/914, 7272/322

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 571/914, 7272/322?

Answer: LCM of Numerators as per given numbers 571/914, 7272/322 is

LCM of Numerators i.e. for 571,7272 is 4152312

GCF of denominators i.e. for 914,322 is 2.

Thus, LCM of Fractions is 2076156.Finally, LCM of Fractions for 571/914, 7272/322 is 2076156.