Least Common Multiple of 54/75, 592/70, 284/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/75, 592/70, 284/228 quickly i.e. 1134864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/75, 592/70, 284/228 is 1134864.

LCM(54/75, 592/70, 284/228) = 1134864

LCM of 54/75, 592/70, 284/228

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 54/75,592/70,284/228

Given numbers are 54/75,592/70,284/228

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 54,592,284

Least Common Multiple of Numerators i.e. LCM of 54,592,284 is 1134864.

GCF of Denominators means GCF of 75,70,228 as per the given fractions.

GCF of 75,70,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,592,284

LCM of Fractions 54/75,592/70,284/228 is 1134864

2 54, 592, 284
2 27, 296, 142
27, 148, 71

∴ So the LCM of the given numbers is 2 x 2 x 27 x 148 x 71 = 1134864

Least Common Multiple of 54,592,284 with GCF Formula

Least Common Multiple of 54,592,284 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 54,592,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,592,284) = 2

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

GCF(54,592,284) x common factors =2 x 4 = 8

LCM(54,592,284) = ( 54 × 592 × 284 ) / 8

LCM(54,592,284) = 9078912 / 8

LCM(54,592,284) = 1134864


Lets's calculate GCF of 75,70,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1134864/1

Therefore the LCM of Fractions 54/75,592/70,284/228 is 1134864

Greatest Common Factor of 75,70,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,70,228 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 75,70,228 . The biggest common factor number is the GCF number.
So the greatest common factor 75,70,228 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 54/75, 592/70, 284/228

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 54/75, 592/70, 284/228?

Answer: LCM of Numerators as per given numbers 54/75, 592/70, 284/228 is

LCM of Numerators i.e. for 54,592,284 is 1134864

GCF of denominators i.e. for 75,70,228 is 1.

Thus, LCM of Fractions is 1134864.Finally, LCM of Fractions for 54/75, 592/70, 284/228 is 1134864.