Least Common Multiple of 21/74, 87/47, 79/46, 88/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/74, 87/47, 79/46, 88/225 quickly i.e. 4233768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/74, 87/47, 79/46, 88/225 is 4233768.

LCM(21/74, 87/47, 79/46, 88/225) = 4233768

LCM of 21/74, 87/47, 79/46, 88/225

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 21/74,87/47,79/46,88/225

Given numbers are 21/74,87/47,79/46,88/225

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 21,87,79,88

Least Common Multiple of Numerators i.e. LCM of 21,87,79,88 is 4233768.

GCF of Denominators means GCF of 74,47,46,225 as per the given fractions.

GCF of 74,47,46,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,87,79,88

LCM of Fractions 21/74,87/47,79/46,88/225 is 4233768

3 21, 87, 79, 88
7, 29, 79, 88

∴ So the LCM of the given numbers is 3 x 7 x 29 x 79 x 88 = 4233768

Least Common Multiple of 21,87,79,88 with GCF Formula

Least Common Multiple of 21,87,79,88 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 21,87,79,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,87,79,88) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,87,79,88) x common factors =1 x 3 = 3

LCM(21,87,79,88) = ( 21 × 87 × 79 × 88 ) / 3

LCM(21,87,79,88) = 12701304 / 3

LCM(21,87,79,88) = 4233768


Lets's calculate GCF of 74,47,46,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4233768/1

Therefore the LCM of Fractions 21/74,87/47,79/46,88/225 is 4233768

Greatest Common Factor of 74,47,46,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,47,46,225 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 74,47,46,225 . The biggest common factor number is the GCF number.
So the greatest common factor 74,47,46,225 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 21/74, 87/47, 79/46, 88/225

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 21/74, 87/47, 79/46, 88/225?

Answer: LCM of Numerators as per given numbers 21/74, 87/47, 79/46, 88/225 is

LCM of Numerators i.e. for 21,87,79,88 is 4233768

GCF of denominators i.e. for 74,47,46,225 is 1.

Thus, LCM of Fractions is 4233768.Finally, LCM of Fractions for 21/74, 87/47, 79/46, 88/225 is 4233768.