Least Common Multiple of 44/78, 92/83, 468/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/78, 92/83, 468/798 quickly i.e. 118404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/78, 92/83, 468/798 is 118404.

LCM(44/78, 92/83, 468/798) = 118404

LCM of 44/78, 92/83, 468/798

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 44/78,92/83,468/798

Given numbers are 44/78,92/83,468/798

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 44,92,468

Least Common Multiple of Numerators i.e. LCM of 44,92,468 is 118404.

GCF of Denominators means GCF of 78,83,798 as per the given fractions.

GCF of 78,83,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,92,468

LCM of Fractions 44/78,92/83,468/798 is 118404

2 44, 92, 468
2 22, 46, 234
11, 23, 117

∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 117 = 118404

Least Common Multiple of 44,92,468 with GCF Formula

Least Common Multiple of 44,92,468 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 44,92,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,92,468) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(44,92,468) x common factors =4 x 4 = 16

LCM(44,92,468) = ( 44 × 92 × 468 ) / 16

LCM(44,92,468) = 1894464 / 16

LCM(44,92,468) = 118404


Lets's calculate GCF of 78,83,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118404/1

Therefore the LCM of Fractions 44/78,92/83,468/798 is 118404

Greatest Common Factor of 78,83,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,83,798 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 78,83,798 . The biggest common factor number is the GCF number.
So the greatest common factor 78,83,798 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 44/78, 92/83, 468/798

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 44/78, 92/83, 468/798?

Answer: LCM of Numerators as per given numbers 44/78, 92/83, 468/798 is

LCM of Numerators i.e. for 44,92,468 is 118404

GCF of denominators i.e. for 78,83,798 is 1.

Thus, LCM of Fractions is 118404.Finally, LCM of Fractions for 44/78, 92/83, 468/798 is 118404.