Least Common Multiple of 63/477, 25/540, 300/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/477, 25/540, 300/210 quickly i.e. 2100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/477, 25/540, 300/210 is 2100.

LCM(63/477, 25/540, 300/210) = 2100

LCM of 63/477, 25/540, 300/210

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 63/477,25/540,300/210

Given numbers are 63/477,25/540,300/210

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 63,25,300

Least Common Multiple of Numerators i.e. LCM of 63,25,300 is 6300.

GCF of Denominators means GCF of 477,540,210 as per the given fractions.

GCF of 477,540,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,25,300

LCM of Fractions 63/477,25/540,300/210 is 2100

3 63, 25, 300
5 21, 25, 100
5 21, 5, 20
21, 1, 4

∴ So the LCM of the given numbers is 3 x 5 x 5 x 21 x 1 x 4 = 6300

Least Common Multiple of 63,25,300 with GCF Formula

Least Common Multiple of 63,25,300 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 63,25,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,25,300) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(63,25,300) x common factors =1 x 75 = 75

LCM(63,25,300) = ( 63 × 25 × 300 ) / 75

LCM(63,25,300) = 472500 / 75

LCM(63,25,300) = 6300


Lets's calculate GCF of 477,540,210

3 477, 540, 210
159, 180, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6300/3

Therefore the LCM of Fractions 63/477,25/540,300/210 is 2100

Greatest Common Factor of 477,540,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,540,210 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 477,540,210 . The biggest common factor number is the GCF number.
So the greatest common factor 477,540,210 is 3.


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 63/477, 25/540, 300/210

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 63/477, 25/540, 300/210?

Answer: LCM of Numerators as per given numbers 63/477, 25/540, 300/210 is

LCM of Numerators i.e. for 63,25,300 is 6300

GCF of denominators i.e. for 477,540,210 is 3.

Thus, LCM of Fractions is 2100.Finally, LCM of Fractions for 63/477, 25/540, 300/210 is 2100.