Least Common Multiple of 84/53, 39/16, 75/51, 56/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/53, 39/16, 75/51, 56/307 quickly i.e. 54600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/53, 39/16, 75/51, 56/307 is 54600.

LCM(84/53, 39/16, 75/51, 56/307) = 54600

LCM of 84/53, 39/16, 75/51, 56/307

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 84/53,39/16,75/51,56/307

Given numbers are 84/53,39/16,75/51,56/307

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 84,39,75,56

Least Common Multiple of Numerators i.e. LCM of 84,39,75,56 is 54600.

GCF of Denominators means GCF of 53,16,51,307 as per the given fractions.

GCF of 53,16,51,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,39,75,56

LCM of Fractions 84/53,39/16,75/51,56/307 is 54600

2 84, 39, 75, 56
2 42, 39, 75, 28
3 21, 39, 75, 14
7 7, 13, 25, 14
1, 13, 25, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 13 x 25 x 2 = 54600

Least Common Multiple of 84,39,75,56 with GCF Formula

Least Common Multiple of 84,39,75,56 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 84,39,75,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,39,75,56) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(84,39,75,56) x common factors =1 x 252 = 252

LCM(84,39,75,56) = ( 84 × 39 × 75 × 56 ) / 252

LCM(84,39,75,56) = 13759200 / 252

LCM(84,39,75,56) = 54600


Lets's calculate GCF of 53,16,51,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54600/1

Therefore the LCM of Fractions 84/53,39/16,75/51,56/307 is 54600

Greatest Common Factor of 53,16,51,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,16,51,307 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 53,16,51,307 . The biggest common factor number is the GCF number.
So the greatest common factor 53,16,51,307 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 84/53, 39/16, 75/51, 56/307

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 84/53, 39/16, 75/51, 56/307?

Answer: LCM of Numerators as per given numbers 84/53, 39/16, 75/51, 56/307 is

LCM of Numerators i.e. for 84,39,75,56 is 54600

GCF of denominators i.e. for 53,16,51,307 is 1.

Thus, LCM of Fractions is 54600.Finally, LCM of Fractions for 84/53, 39/16, 75/51, 56/307 is 54600.