Least Common Multiple of 22/766, 81/486, 329/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/766, 81/486, 329/840 quickly i.e. 293139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/766, 81/486, 329/840 is 293139.

LCM(22/766, 81/486, 329/840) = 293139

LCM of 22/766, 81/486, 329/840

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 22/766,81/486,329/840

Given numbers are 22/766,81/486,329/840

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 22,81,329

Least Common Multiple of Numerators i.e. LCM of 22,81,329 is 586278.

GCF of Denominators means GCF of 766,486,840 as per the given fractions.

GCF of 766,486,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,81,329

LCM of Fractions 22/766,81/486,329/840 is 293139

Given numbers has no common factors except 1. So, there LCM is their product i.e 586278

Least Common Multiple of 22,81,329 with GCF Formula

Least Common Multiple of 22,81,329 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 22,81,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,81,329) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(22,81,329) x common factors =1 x 1 = 1

LCM(22,81,329) = ( 22 × 81 × 329 ) / 1

LCM(22,81,329) = 586278 / 1

LCM(22,81,329) = 586278


Lets's calculate GCF of 766,486,840

2 766, 486, 840
383, 243, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586278/2

Therefore the LCM of Fractions 22/766,81/486,329/840 is 293139

Greatest Common Factor of 766,486,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,486,840 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 766,486,840 . The biggest common factor number is the GCF number.
So the greatest common factor 766,486,840 is 2.


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 22/766, 81/486, 329/840

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 22/766, 81/486, 329/840?

Answer: LCM of Numerators as per given numbers 22/766, 81/486, 329/840 is

LCM of Numerators i.e. for 22,81,329 is 586278

GCF of denominators i.e. for 766,486,840 is 2.

Thus, LCM of Fractions is 293139.Finally, LCM of Fractions for 22/766, 81/486, 329/840 is 293139.