Least Common Multiple of 36/70, 432/65, 675/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/70, 432/65, 675/981 quickly i.e. 10800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/70, 432/65, 675/981 is 10800.

LCM(36/70, 432/65, 675/981) = 10800

LCM of 36/70, 432/65, 675/981

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 36/70,432/65,675/981

Given numbers are 36/70,432/65,675/981

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 36,432,675

Least Common Multiple of Numerators i.e. LCM of 36,432,675 is 10800.

GCF of Denominators means GCF of 70,65,981 as per the given fractions.

GCF of 70,65,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,432,675

LCM of Fractions 36/70,432/65,675/981 is 10800

2 36, 432, 675
2 18, 216, 675
3 9, 108, 675
3 3, 36, 225
3 1, 12, 75
1, 4, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 4 x 25 = 10800

Least Common Multiple of 36,432,675 with GCF Formula

Least Common Multiple of 36,432,675 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 36,432,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,432,675) = 9

common factors(in case of two or more numbers have common factors) = 108

GCF(36,432,675) x common factors =9 x 108 = 972

LCM(36,432,675) = ( 36 × 432 × 675 ) / 972

LCM(36,432,675) = 10497600 / 972

LCM(36,432,675) = 10800


Lets's calculate GCF of 70,65,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10800/1

Therefore the LCM of Fractions 36/70,432/65,675/981 is 10800

Greatest Common Factor of 70,65,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,65,981 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 70,65,981 . The biggest common factor number is the GCF number.
So the greatest common factor 70,65,981 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 36/70, 432/65, 675/981

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 36/70, 432/65, 675/981?

Answer: LCM of Numerators as per given numbers 36/70, 432/65, 675/981 is

LCM of Numerators i.e. for 36,432,675 is 10800

GCF of denominators i.e. for 70,65,981 is 1.

Thus, LCM of Fractions is 10800.Finally, LCM of Fractions for 36/70, 432/65, 675/981 is 10800.