Least Common Multiple of 65/12, 40/31, 84/88, 32/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/12, 40/31, 84/88, 32/61 quickly i.e. 43680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/12, 40/31, 84/88, 32/61 is 43680.

LCM(65/12, 40/31, 84/88, 32/61) = 43680

LCM of 65/12, 40/31, 84/88, 32/61

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 65/12,40/31,84/88,32/61

Given numbers are 65/12,40/31,84/88,32/61

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 65,40,84,32

Least Common Multiple of Numerators i.e. LCM of 65,40,84,32 is 43680.

GCF of Denominators means GCF of 12,31,88,61 as per the given fractions.

GCF of 12,31,88,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,40,84,32

LCM of Fractions 65/12,40/31,84/88,32/61 is 43680

2 65, 40, 84, 32
2 65, 20, 42, 16
2 65, 10, 21, 8
5 65, 5, 21, 4
13, 1, 21, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 21 x 4 = 43680

Least Common Multiple of 65,40,84,32 with GCF Formula

Least Common Multiple of 65,40,84,32 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 65,40,84,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,40,84,32) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(65,40,84,32) x common factors =1 x 160 = 160

LCM(65,40,84,32) = ( 65 × 40 × 84 × 32 ) / 160

LCM(65,40,84,32) = 6988800 / 160

LCM(65,40,84,32) = 43680


Lets's calculate GCF of 12,31,88,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43680/1

Therefore the LCM of Fractions 65/12,40/31,84/88,32/61 is 43680

Greatest Common Factor of 12,31,88,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,31,88,61 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 12,31,88,61 . The biggest common factor number is the GCF number.
So the greatest common factor 12,31,88,61 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 65/12, 40/31, 84/88, 32/61

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 65/12, 40/31, 84/88, 32/61?

Answer: LCM of Numerators as per given numbers 65/12, 40/31, 84/88, 32/61 is

LCM of Numerators i.e. for 65,40,84,32 is 43680

GCF of denominators i.e. for 12,31,88,61 is 1.

Thus, LCM of Fractions is 43680.Finally, LCM of Fractions for 65/12, 40/31, 84/88, 32/61 is 43680.