Least Common Multiple of 228/70, 285/51, 972/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/70, 285/51, 972/103 quickly i.e. 92340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/70, 285/51, 972/103 is 92340.

LCM(228/70, 285/51, 972/103) = 92340

LCM of 228/70, 285/51, 972/103

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 228/70,285/51,972/103

Given numbers are 228/70,285/51,972/103

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 228,285,972

Least Common Multiple of Numerators i.e. LCM of 228,285,972 is 92340.

GCF of Denominators means GCF of 70,51,103 as per the given fractions.

GCF of 70,51,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,285,972

LCM of Fractions 228/70,285/51,972/103 is 92340

2 228, 285, 972
2 114, 285, 486
3 57, 285, 243
19 19, 95, 81
1, 5, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 5 x 81 = 92340

Least Common Multiple of 228,285,972 with GCF Formula

Least Common Multiple of 228,285,972 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 228,285,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,285,972) = 3

common factors(in case of two or more numbers have common factors) = 228

GCF(228,285,972) x common factors =3 x 228 = 684

LCM(228,285,972) = ( 228 × 285 × 972 ) / 684

LCM(228,285,972) = 63160560 / 684

LCM(228,285,972) = 92340


Lets's calculate GCF of 70,51,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92340/1

Therefore the LCM of Fractions 228/70,285/51,972/103 is 92340

Greatest Common Factor of 70,51,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,51,103 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 70,51,103 . The biggest common factor number is the GCF number.
So the greatest common factor 70,51,103 is 1.


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 228/70, 285/51, 972/103

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 228/70, 285/51, 972/103?

Answer: LCM of Numerators as per given numbers 228/70, 285/51, 972/103 is

LCM of Numerators i.e. for 228,285,972 is 92340

GCF of denominators i.e. for 70,51,103 is 1.

Thus, LCM of Fractions is 92340.Finally, LCM of Fractions for 228/70, 285/51, 972/103 is 92340.