Least Common Multiple of 78/972, 452/465, 338/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/972, 452/465, 338/368 quickly i.e. 229164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/972, 452/465, 338/368 is 229164.

LCM(78/972, 452/465, 338/368) = 229164

LCM of 78/972, 452/465, 338/368

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 78/972,452/465,338/368

Given numbers are 78/972,452/465,338/368

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 78,452,338

Least Common Multiple of Numerators i.e. LCM of 78,452,338 is 229164.

GCF of Denominators means GCF of 972,465,368 as per the given fractions.

GCF of 972,465,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,452,338

LCM of Fractions 78/972,452/465,338/368 is 229164

2 78, 452, 338
13 39, 226, 169
3, 226, 13

∴ So the LCM of the given numbers is 2 x 13 x 3 x 226 x 13 = 229164

Least Common Multiple of 78,452,338 with GCF Formula

Least Common Multiple of 78,452,338 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 78,452,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,452,338) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(78,452,338) x common factors =2 x 26 = 52

LCM(78,452,338) = ( 78 × 452 × 338 ) / 52

LCM(78,452,338) = 11916528 / 52

LCM(78,452,338) = 229164


Lets's calculate GCF of 972,465,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229164/1

Therefore the LCM of Fractions 78/972,452/465,338/368 is 229164

Greatest Common Factor of 972,465,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,465,368 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 972,465,368 . The biggest common factor number is the GCF number.
So the greatest common factor 972,465,368 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 78/972, 452/465, 338/368

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 78/972, 452/465, 338/368?

Answer: LCM of Numerators as per given numbers 78/972, 452/465, 338/368 is

LCM of Numerators i.e. for 78,452,338 is 229164

GCF of denominators i.e. for 972,465,368 is 1.

Thus, LCM of Fractions is 229164.Finally, LCM of Fractions for 78/972, 452/465, 338/368 is 229164.