Least Common Multiple of 109/81, 872/31, 308/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/81, 872/31, 308/778 quickly i.e. 67144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/81, 872/31, 308/778 is 67144.

LCM(109/81, 872/31, 308/778) = 67144

LCM of 109/81, 872/31, 308/778

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 109/81,872/31,308/778

Given numbers are 109/81,872/31,308/778

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 109,872,308

Least Common Multiple of Numerators i.e. LCM of 109,872,308 is 67144.

GCF of Denominators means GCF of 81,31,778 as per the given fractions.

GCF of 81,31,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,872,308

LCM of Fractions 109/81,872/31,308/778 is 67144

2 109, 872, 308
2 109, 436, 154
109 109, 218, 77
1, 2, 77

∴ So the LCM of the given numbers is 2 x 2 x 109 x 1 x 2 x 77 = 67144

Least Common Multiple of 109,872,308 with GCF Formula

Least Common Multiple of 109,872,308 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 109,872,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,872,308) = 1

common factors(in case of two or more numbers have common factors) = 436

GCF(109,872,308) x common factors =1 x 436 = 436

LCM(109,872,308) = ( 109 × 872 × 308 ) / 436

LCM(109,872,308) = 29274784 / 436

LCM(109,872,308) = 67144


Lets's calculate GCF of 81,31,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67144/1

Therefore the LCM of Fractions 109/81,872/31,308/778 is 67144

Greatest Common Factor of 81,31,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,31,778 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 81,31,778 . The biggest common factor number is the GCF number.
So the greatest common factor 81,31,778 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 109/81, 872/31, 308/778

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 109/81, 872/31, 308/778?

Answer: LCM of Numerators as per given numbers 109/81, 872/31, 308/778 is

LCM of Numerators i.e. for 109,872,308 is 67144

GCF of denominators i.e. for 81,31,778 is 1.

Thus, LCM of Fractions is 67144.Finally, LCM of Fractions for 109/81, 872/31, 308/778 is 67144.