Least Common Multiple of 53/538, 128/110, 748/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/538, 128/110, 748/774 quickly i.e. 634304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/538, 128/110, 748/774 is 634304.

LCM(53/538, 128/110, 748/774) = 634304

LCM of 53/538, 128/110, 748/774

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 53/538,128/110,748/774

Given numbers are 53/538,128/110,748/774

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 53,128,748

Least Common Multiple of Numerators i.e. LCM of 53,128,748 is 1268608.

GCF of Denominators means GCF of 538,110,774 as per the given fractions.

GCF of 538,110,774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,128,748

LCM of Fractions 53/538,128/110,748/774 is 634304

2 53, 128, 748
2 53, 64, 374
53, 32, 187

∴ So the LCM of the given numbers is 2 x 2 x 53 x 32 x 187 = 1268608

Least Common Multiple of 53,128,748 with GCF Formula

Least Common Multiple of 53,128,748 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 53,128,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,128,748) = 1

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

GCF(53,128,748) x common factors =1 x 4 = 4

LCM(53,128,748) = ( 53 × 128 × 748 ) / 4

LCM(53,128,748) = 5074432 / 4

LCM(53,128,748) = 1268608


Lets's calculate GCF of 538,110,774

2 538, 110, 774
269, 55, 387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1268608/2

Therefore the LCM of Fractions 53/538,128/110,748/774 is 634304

Greatest Common Factor of 538,110,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,110,774 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 538,110,774 . The biggest common factor number is the GCF number.
So the greatest common factor 538,110,774 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 53/538, 128/110, 748/774

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 53/538, 128/110, 748/774?

Answer: LCM of Numerators as per given numbers 53/538, 128/110, 748/774 is

LCM of Numerators i.e. for 53,128,748 is 1268608

GCF of denominators i.e. for 538,110,774 is 2.

Thus, LCM of Fractions is 634304.Finally, LCM of Fractions for 53/538, 128/110, 748/774 is 634304.