Least Common Multiple of 108/810, 888/494, 810/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/810, 888/494, 810/379 quickly i.e. 119880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/810, 888/494, 810/379 is 119880.

LCM(108/810, 888/494, 810/379) = 119880

LCM of 108/810, 888/494, 810/379

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 108/810,888/494,810/379

Given numbers are 108/810,888/494,810/379

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 108,888,810

Least Common Multiple of Numerators i.e. LCM of 108,888,810 is 119880.

GCF of Denominators means GCF of 810,494,379 as per the given fractions.

GCF of 810,494,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,888,810

LCM of Fractions 108/810,888/494,810/379 is 119880

2 108, 888, 810
2 54, 444, 405
3 27, 222, 405
3 9, 74, 135
3 3, 74, 45
1, 74, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 74 x 15 = 119880

Least Common Multiple of 108,888,810 with GCF Formula

Least Common Multiple of 108,888,810 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 108,888,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,888,810) = 6

common factors(in case of two or more numbers have common factors) = 108

GCF(108,888,810) x common factors =6 x 108 = 648

LCM(108,888,810) = ( 108 × 888 × 810 ) / 648

LCM(108,888,810) = 77682240 / 648

LCM(108,888,810) = 119880


Lets's calculate GCF of 810,494,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119880/1

Therefore the LCM of Fractions 108/810,888/494,810/379 is 119880

Greatest Common Factor of 810,494,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,494,379 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 810,494,379 . The biggest common factor number is the GCF number.
So the greatest common factor 810,494,379 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 108/810, 888/494, 810/379

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 108/810, 888/494, 810/379?

Answer: LCM of Numerators as per given numbers 108/810, 888/494, 810/379 is

LCM of Numerators i.e. for 108,888,810 is 119880

GCF of denominators i.e. for 810,494,379 is 1.

Thus, LCM of Fractions is 119880.Finally, LCM of Fractions for 108/810, 888/494, 810/379 is 119880.