Least Common Multiple of 344/93, 479/57, 298/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 344/93, 479/57, 298/542 quickly i.e. 24551624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/93, 479/57, 298/542 is 24551624.

LCM(344/93, 479/57, 298/542) = 24551624

LCM of 344/93, 479/57, 298/542

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 344/93,479/57,298/542

Given numbers are 344/93,479/57,298/542

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 344,479,298

Least Common Multiple of Numerators i.e. LCM of 344,479,298 is 24551624.

GCF of Denominators means GCF of 93,57,542 as per the given fractions.

GCF of 93,57,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,479,298

LCM of Fractions 344/93,479/57,298/542 is 24551624

2 344, 479, 298
172, 479, 149

∴ So the LCM of the given numbers is 2 x 172 x 479 x 149 = 24551624

Least Common Multiple of 344,479,298 with GCF Formula

Least Common Multiple of 344,479,298 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 344,479,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,479,298) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(344,479,298) x common factors =1 x 2 = 2

LCM(344,479,298) = ( 344 × 479 × 298 ) / 2

LCM(344,479,298) = 49103248 / 2

LCM(344,479,298) = 24551624


Lets's calculate GCF of 93,57,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24551624/1

Therefore the LCM of Fractions 344/93,479/57,298/542 is 24551624

Greatest Common Factor of 93,57,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,57,542 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 93,57,542 . The biggest common factor number is the GCF number.
So the greatest common factor 93,57,542 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 344/93, 479/57, 298/542

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 344/93, 479/57, 298/542?

Answer: LCM of Numerators as per given numbers 344/93, 479/57, 298/542 is

LCM of Numerators i.e. for 344,479,298 is 24551624

GCF of denominators i.e. for 93,57,542 is 1.

Thus, LCM of Fractions is 24551624.Finally, LCM of Fractions for 344/93, 479/57, 298/542 is 24551624.