Least Common Multiple of 21/900, 8455/1479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/900, 8455/1479 quickly i.e. 59185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/900, 8455/1479 is 59185.

LCM(21/900, 8455/1479) = 59185

LCM of 21/900, 8455/1479

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 21/900,8455/1479

Given numbers are 21/900,8455/1479

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 21,8455

Least Common Multiple of Numerators i.e. LCM of 21,8455 is 177555.

GCF of Denominators means GCF of 900,1479 as per the given fractions.

GCF of 900,1479 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,8455

LCM of Fractions 21/900,8455/1479 is 59185

Given numbers has no common factors except 1. So, there LCM is their product i.e 177555

Least Common Multiple of 21,8455 with GCF Formula

Least Common Multiple of 21,8455 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 21,8455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,8455) = 1

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

GCF(21,8455) x common factors =1 x 1 = 1

LCM(21,8455) = ( 21 × 8455 ) / 1

LCM(21,8455) = 177555 / 1

LCM(21,8455) = 177555


Lets's calculate GCF of 900,1479

3 900, 1479
300, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177555/3

Therefore the LCM of Fractions 21/900,8455/1479 is 59185

Greatest Common Factor of 900,1479 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,1479 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 900,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 900,1479 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 21/900, 8455/1479

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 21/900, 8455/1479?

Answer: LCM of Numerators as per given numbers 21/900, 8455/1479 is

LCM of Numerators i.e. for 21,8455 is 177555

GCF of denominators i.e. for 900,1479 is 3.

Thus, LCM of Fractions is 59185.Finally, LCM of Fractions for 21/900, 8455/1479 is 59185.