Least Common Multiple of 547/494, 111/788, 442/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 547/494, 111/788, 442/478 quickly i.e. 13418457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 547/494, 111/788, 442/478 is 13418457.

LCM(547/494, 111/788, 442/478) = 13418457

LCM of 547/494, 111/788, 442/478

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 547/494,111/788,442/478

Given numbers are 547/494,111/788,442/478

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 547,111,442

Least Common Multiple of Numerators i.e. LCM of 547,111,442 is 26836914.

GCF of Denominators means GCF of 494,788,478 as per the given fractions.

GCF of 494,788,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 547,111,442

LCM of Fractions 547/494,111/788,442/478 is 13418457

Given numbers has no common factors except 1. So, there LCM is their product i.e 26836914

Least Common Multiple of 547,111,442 with GCF Formula

Least Common Multiple of 547,111,442 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 547,111,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,111,442) = 1

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

GCF(547,111,442) x common factors =1 x 1 = 1

LCM(547,111,442) = ( 547 × 111 × 442 ) / 1

LCM(547,111,442) = 26836914 / 1

LCM(547,111,442) = 26836914


Lets's calculate GCF of 494,788,478

2 494, 788, 478
247, 394, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26836914/2

Therefore the LCM of Fractions 547/494,111/788,442/478 is 13418457

Greatest Common Factor of 494,788,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,788,478 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 494,788,478 . The biggest common factor number is the GCF number.
So the greatest common factor 494,788,478 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 547/494, 111/788, 442/478

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 547/494, 111/788, 442/478?

Answer: LCM of Numerators as per given numbers 547/494, 111/788, 442/478 is

LCM of Numerators i.e. for 547,111,442 is 26836914

GCF of denominators i.e. for 494,788,478 is 2.

Thus, LCM of Fractions is 13418457.Finally, LCM of Fractions for 547/494, 111/788, 442/478 is 13418457.