Least Common Multiple of 84/108, 866/463, 743/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/108, 866/463, 743/677 quickly i.e. 27024396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/108, 866/463, 743/677 is 27024396.

LCM(84/108, 866/463, 743/677) = 27024396

LCM of 84/108, 866/463, 743/677

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 84/108,866/463,743/677

Given numbers are 84/108,866/463,743/677

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 84,866,743

Least Common Multiple of Numerators i.e. LCM of 84,866,743 is 27024396.

GCF of Denominators means GCF of 108,463,677 as per the given fractions.

GCF of 108,463,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,866,743

LCM of Fractions 84/108,866/463,743/677 is 27024396

2 84, 866, 743
42, 433, 743

∴ So the LCM of the given numbers is 2 x 42 x 433 x 743 = 27024396

Least Common Multiple of 84,866,743 with GCF Formula

Least Common Multiple of 84,866,743 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 84,866,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,866,743) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,866,743) x common factors =1 x 2 = 2

LCM(84,866,743) = ( 84 × 866 × 743 ) / 2

LCM(84,866,743) = 54048792 / 2

LCM(84,866,743) = 27024396


Lets's calculate GCF of 108,463,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27024396/1

Therefore the LCM of Fractions 84/108,866/463,743/677 is 27024396

Greatest Common Factor of 108,463,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,463,677 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 108,463,677 . The biggest common factor number is the GCF number.
So the greatest common factor 108,463,677 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 84/108, 866/463, 743/677

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 84/108, 866/463, 743/677?

Answer: LCM of Numerators as per given numbers 84/108, 866/463, 743/677 is

LCM of Numerators i.e. for 84,866,743 is 27024396

GCF of denominators i.e. for 108,463,677 is 1.

Thus, LCM of Fractions is 27024396.Finally, LCM of Fractions for 84/108, 866/463, 743/677 is 27024396.