Least Common Multiple of 28/466, 88/739, 127/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/466, 88/739, 127/893 quickly i.e. 78232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/466, 88/739, 127/893 is 78232.

LCM(28/466, 88/739, 127/893) = 78232

LCM of 28/466, 88/739, 127/893

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 28/466,88/739,127/893

Given numbers are 28/466,88/739,127/893

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 28,88,127

Least Common Multiple of Numerators i.e. LCM of 28,88,127 is 78232.

GCF of Denominators means GCF of 466,739,893 as per the given fractions.

GCF of 466,739,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,88,127

LCM of Fractions 28/466,88/739,127/893 is 78232

2 28, 88, 127
2 14, 44, 127
7, 22, 127

∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 127 = 78232

Least Common Multiple of 28,88,127 with GCF Formula

Least Common Multiple of 28,88,127 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 28,88,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,88,127) = 1

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

GCF(28,88,127) x common factors =1 x 4 = 4

LCM(28,88,127) = ( 28 × 88 × 127 ) / 4

LCM(28,88,127) = 312928 / 4

LCM(28,88,127) = 78232


Lets's calculate GCF of 466,739,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78232/1

Therefore the LCM of Fractions 28/466,88/739,127/893 is 78232

Greatest Common Factor of 466,739,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,739,893 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 466,739,893 . The biggest common factor number is the GCF number.
So the greatest common factor 466,739,893 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/466, 88/739, 127/893

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 28/466, 88/739, 127/893?

Answer: LCM of Numerators as per given numbers 28/466, 88/739, 127/893 is

LCM of Numerators i.e. for 28,88,127 is 78232

GCF of denominators i.e. for 466,739,893 is 1.

Thus, LCM of Fractions is 78232.Finally, LCM of Fractions for 28/466, 88/739, 127/893 is 78232.