Least Common Multiple of 72/53, 84/24, 74/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/53, 84/24, 74/851 quickly i.e. 18648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/53, 84/24, 74/851 is 18648.

LCM(72/53, 84/24, 74/851) = 18648

LCM of 72/53, 84/24, 74/851

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 72/53,84/24,74/851

Given numbers are 72/53,84/24,74/851

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 72,84,74

Least Common Multiple of Numerators i.e. LCM of 72,84,74 is 18648.

GCF of Denominators means GCF of 53,24,851 as per the given fractions.

GCF of 53,24,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,84,74

LCM of Fractions 72/53,84/24,74/851 is 18648

2 72, 84, 74
2 36, 42, 37
3 18, 21, 37
6, 7, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 7 x 37 = 18648

Least Common Multiple of 72,84,74 with GCF Formula

Least Common Multiple of 72,84,74 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 72,84,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,84,74) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(72,84,74) x common factors =2 x 12 = 24

LCM(72,84,74) = ( 72 × 84 × 74 ) / 24

LCM(72,84,74) = 447552 / 24

LCM(72,84,74) = 18648


Lets's calculate GCF of 53,24,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18648/1

Therefore the LCM of Fractions 72/53,84/24,74/851 is 18648

Greatest Common Factor of 53,24,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,24,851 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 53,24,851 . The biggest common factor number is the GCF number.
So the greatest common factor 53,24,851 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 72/53, 84/24, 74/851

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 72/53, 84/24, 74/851?

Answer: LCM of Numerators as per given numbers 72/53, 84/24, 74/851 is

LCM of Numerators i.e. for 72,84,74 is 18648

GCF of denominators i.e. for 53,24,851 is 1.

Thus, LCM of Fractions is 18648.Finally, LCM of Fractions for 72/53, 84/24, 74/851 is 18648.