Least Common Multiple of 28/892, 34/188, 903/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/892, 34/188, 903/146 quickly i.e. 30702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/892, 34/188, 903/146 is 30702.

LCM(28/892, 34/188, 903/146) = 30702

LCM of 28/892, 34/188, 903/146

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 28/892,34/188,903/146

Given numbers are 28/892,34/188,903/146

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 28,34,903

Least Common Multiple of Numerators i.e. LCM of 28,34,903 is 61404.

GCF of Denominators means GCF of 892,188,146 as per the given fractions.

GCF of 892,188,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,34,903

LCM of Fractions 28/892,34/188,903/146 is 30702

2 28, 34, 903
7 14, 17, 903
2, 17, 129

∴ So the LCM of the given numbers is 2 x 7 x 2 x 17 x 129 = 61404

Least Common Multiple of 28,34,903 with GCF Formula

Least Common Multiple of 28,34,903 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 28,34,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,34,903) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(28,34,903) x common factors =1 x 14 = 14

LCM(28,34,903) = ( 28 × 34 × 903 ) / 14

LCM(28,34,903) = 859656 / 14

LCM(28,34,903) = 61404


Lets's calculate GCF of 892,188,146

2 892, 188, 146
446, 94, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61404/2

Therefore the LCM of Fractions 28/892,34/188,903/146 is 30702

Greatest Common Factor of 892,188,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,188,146 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 892,188,146 . The biggest common factor number is the GCF number.
So the greatest common factor 892,188,146 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 28/892, 34/188, 903/146

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 28/892, 34/188, 903/146?

Answer: LCM of Numerators as per given numbers 28/892, 34/188, 903/146 is

LCM of Numerators i.e. for 28,34,903 is 61404

GCF of denominators i.e. for 892,188,146 is 2.

Thus, LCM of Fractions is 30702.Finally, LCM of Fractions for 28/892, 34/188, 903/146 is 30702.