Least Common Multiple of 81/872, 30/844, 935/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/872, 30/844, 935/984 quickly i.e. 151470/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/872, 30/844, 935/984 is 151470/4.

LCM(81/872, 30/844, 935/984) = 151470/4

LCM of 81/872, 30/844, 935/984

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 81/872,30/844,935/984

Given numbers are 81/872,30/844,935/984

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 81,30,935

Least Common Multiple of Numerators i.e. LCM of 81,30,935 is 151470.

GCF of Denominators means GCF of 872,844,984 as per the given fractions.

GCF of 872,844,984 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,30,935

LCM of Fractions 81/872,30/844,935/984 is 151470/4

3 81, 30, 935
5 27, 10, 935
27, 2, 187

∴ So the LCM of the given numbers is 3 x 5 x 27 x 2 x 187 = 151470

Least Common Multiple of 81,30,935 with GCF Formula

Least Common Multiple of 81,30,935 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 81,30,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,30,935) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(81,30,935) x common factors =1 x 15 = 15

LCM(81,30,935) = ( 81 × 30 × 935 ) / 15

LCM(81,30,935) = 2272050 / 15

LCM(81,30,935) = 151470


Lets's calculate GCF of 872,844,984

2 872, 844, 984
2 436, 422, 492
218, 211, 246

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151470/4

Therefore the LCM of Fractions 81/872,30/844,935/984 is 151470/4

Greatest Common Factor of 872,844,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,844,984 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 872,844,984 . The biggest common factor number is the GCF number.
So the greatest common factor 872,844,984 is 4.


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 81/872, 30/844, 935/984

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 81/872, 30/844, 935/984?

Answer: LCM of Numerators as per given numbers 81/872, 30/844, 935/984 is

LCM of Numerators i.e. for 81,30,935 is 151470

GCF of denominators i.e. for 872,844,984 is 4.

Thus, LCM of Fractions is 151470/4.Finally, LCM of Fractions for 81/872, 30/844, 935/984 is 151470/4.