Least Common Multiple of 84/69, 32/25, 36/97, 51/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/69, 32/25, 36/97, 51/731 quickly i.e. 34272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/69, 32/25, 36/97, 51/731 is 34272.

LCM(84/69, 32/25, 36/97, 51/731) = 34272

LCM of 84/69, 32/25, 36/97, 51/731

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 84/69,32/25,36/97,51/731

Given numbers are 84/69,32/25,36/97,51/731

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 84,32,36,51

Least Common Multiple of Numerators i.e. LCM of 84,32,36,51 is 34272.

GCF of Denominators means GCF of 69,25,97,731 as per the given fractions.

GCF of 69,25,97,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,32,36,51

LCM of Fractions 84/69,32/25,36/97,51/731 is 34272

2 84, 32, 36, 51
2 42, 16, 18, 51
3 21, 8, 9, 51
7, 8, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 3 x 17 = 34272

Least Common Multiple of 84,32,36,51 with GCF Formula

Least Common Multiple of 84,32,36,51 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 84,32,36,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,32,36,51) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(84,32,36,51) x common factors =1 x 144 = 144

LCM(84,32,36,51) = ( 84 × 32 × 36 × 51 ) / 144

LCM(84,32,36,51) = 4935168 / 144

LCM(84,32,36,51) = 34272


Lets's calculate GCF of 69,25,97,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34272/1

Therefore the LCM of Fractions 84/69,32/25,36/97,51/731 is 34272

Greatest Common Factor of 69,25,97,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,25,97,731 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 69,25,97,731 . The biggest common factor number is the GCF number.
So the greatest common factor 69,25,97,731 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 84/69, 32/25, 36/97, 51/731

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 84/69, 32/25, 36/97, 51/731?

Answer: LCM of Numerators as per given numbers 84/69, 32/25, 36/97, 51/731 is

LCM of Numerators i.e. for 84,32,36,51 is 34272

GCF of denominators i.e. for 69,25,97,731 is 1.

Thus, LCM of Fractions is 34272.Finally, LCM of Fractions for 84/69, 32/25, 36/97, 51/731 is 34272.