Least Common Multiple of 81/84, 781/21, 840/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/84, 781/21, 840/279 quickly i.e. 5904360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/84, 781/21, 840/279 is 5904360.

LCM(81/84, 781/21, 840/279) = 5904360

LCM of 81/84, 781/21, 840/279

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 81/84,781/21,840/279

Given numbers are 81/84,781/21,840/279

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 81,781,840

Least Common Multiple of Numerators i.e. LCM of 81,781,840 is 17713080.

GCF of Denominators means GCF of 84,21,279 as per the given fractions.

GCF of 84,21,279 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,781,840

LCM of Fractions 81/84,781/21,840/279 is 5904360

3 81, 781, 840
27, 781, 280

∴ So the LCM of the given numbers is 3 x 27 x 781 x 280 = 17713080

Least Common Multiple of 81,781,840 with GCF Formula

Least Common Multiple of 81,781,840 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 81,781,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,781,840) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,781,840) x common factors =1 x 3 = 3

LCM(81,781,840) = ( 81 × 781 × 840 ) / 3

LCM(81,781,840) = 53139240 / 3

LCM(81,781,840) = 17713080


Lets's calculate GCF of 84,21,279

3 84, 21, 279
28, 7, 93

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17713080/3

Therefore the LCM of Fractions 81/84,781/21,840/279 is 5904360

Greatest Common Factor of 84,21,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,21,279 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 84,21,279 . The biggest common factor number is the GCF number.
So the greatest common factor 84,21,279 is 3.


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 81/84, 781/21, 840/279

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 81/84, 781/21, 840/279?

Answer: LCM of Numerators as per given numbers 81/84, 781/21, 840/279 is

LCM of Numerators i.e. for 81,781,840 is 17713080

GCF of denominators i.e. for 84,21,279 is 3.

Thus, LCM of Fractions is 5904360.Finally, LCM of Fractions for 81/84, 781/21, 840/279 is 5904360.