Least Common Multiple of 472/21, 5121/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 472/21, 5121/954 quickly i.e. 805704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/21, 5121/954 is 805704.

LCM(472/21, 5121/954) = 805704

LCM of 472/21, 5121/954

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 472/21,5121/954

Given numbers are 472/21,5121/954

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 472,5121

Least Common Multiple of Numerators i.e. LCM of 472,5121 is 2417112.

GCF of Denominators means GCF of 21,954 as per the given fractions.

GCF of 21,954 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,5121

LCM of Fractions 472/21,5121/954 is 805704

Given numbers has no common factors except 1. So, there LCM is their product i.e 2417112

Least Common Multiple of 472,5121 with GCF Formula

Least Common Multiple of 472,5121 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 472,5121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,5121) = 1

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

GCF(472,5121) x common factors =1 x 1 = 1

LCM(472,5121) = ( 472 × 5121 ) / 1

LCM(472,5121) = 2417112 / 1

LCM(472,5121) = 2417112


Lets's calculate GCF of 21,954

3 21, 954
7, 318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2417112/3

Therefore the LCM of Fractions 472/21,5121/954 is 805704

Greatest Common Factor of 21,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,954 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 21,954 . The biggest common factor number is the GCF number.
So the greatest common factor 21,954 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 472/21, 5121/954

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 472/21, 5121/954?

Answer: LCM of Numerators as per given numbers 472/21, 5121/954 is

LCM of Numerators i.e. for 472,5121 is 2417112

GCF of denominators i.e. for 21,954 is 3.

Thus, LCM of Fractions is 805704.Finally, LCM of Fractions for 472/21, 5121/954 is 805704.