Least Common Multiple of 286/63, 540/4745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/63, 540/4745 quickly i.e. 77220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/63, 540/4745 is 77220.

LCM(286/63, 540/4745) = 77220

LCM of 286/63, 540/4745

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 286/63,540/4745

Given numbers are 286/63,540/4745

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 286,540

Least Common Multiple of Numerators i.e. LCM of 286,540 is 77220.

GCF of Denominators means GCF of 63,4745 as per the given fractions.

GCF of 63,4745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,540

LCM of Fractions 286/63,540/4745 is 77220

2 286, 540
143, 270

∴ So the LCM of the given numbers is 2 x 143 x 270 = 77220

Least Common Multiple of 286,540 with GCF Formula

Least Common Multiple of 286,540 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 286,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,540) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(286,540) x common factors =2 x 1 = 2

LCM(286,540) = ( 286 × 540 ) / 2

LCM(286,540) = 154440 / 2

LCM(286,540) = 77220


Lets's calculate GCF of 63,4745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77220/1

Therefore the LCM of Fractions 286/63,540/4745 is 77220

Greatest Common Factor of 63,4745 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,4745 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1,5,13,65,73,365,949,4745

Greatest Common Factor

We found the factors 63,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 63,4745 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 286/63, 540/4745

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 286/63, 540/4745?

Answer: LCM of Numerators as per given numbers 286/63, 540/4745 is

LCM of Numerators i.e. for 286,540 is 77220

GCF of denominators i.e. for 63,4745 is 1.

Thus, LCM of Fractions is 77220.Finally, LCM of Fractions for 286/63, 540/4745 is 77220.