Least Common Multiple of 78/708, 54/362, 309/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/708, 54/362, 309/952 quickly i.e. 36153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/708, 54/362, 309/952 is 36153.

LCM(78/708, 54/362, 309/952) = 36153

LCM of 78/708, 54/362, 309/952

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 78/708,54/362,309/952

Given numbers are 78/708,54/362,309/952

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 78,54,309

Least Common Multiple of Numerators i.e. LCM of 78,54,309 is 72306.

GCF of Denominators means GCF of 708,362,952 as per the given fractions.

GCF of 708,362,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,54,309

LCM of Fractions 78/708,54/362,309/952 is 36153

2 78, 54, 309
3 39, 27, 309
13, 9, 103

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 103 = 72306

Least Common Multiple of 78,54,309 with GCF Formula

Least Common Multiple of 78,54,309 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 78,54,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,54,309) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(78,54,309) x common factors =3 x 6 = 18

LCM(78,54,309) = ( 78 × 54 × 309 ) / 18

LCM(78,54,309) = 1301508 / 18

LCM(78,54,309) = 72306


Lets's calculate GCF of 708,362,952

2 708, 362, 952
354, 181, 476

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72306/2

Therefore the LCM of Fractions 78/708,54/362,309/952 is 36153

Greatest Common Factor of 708,362,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,362,952 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 708,362,952 . The biggest common factor number is the GCF number.
So the greatest common factor 708,362,952 is 2.


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 78/708, 54/362, 309/952

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 78/708, 54/362, 309/952?

Answer: LCM of Numerators as per given numbers 78/708, 54/362, 309/952 is

LCM of Numerators i.e. for 78,54,309 is 72306

GCF of denominators i.e. for 708,362,952 is 2.

Thus, LCM of Fractions is 36153.Finally, LCM of Fractions for 78/708, 54/362, 309/952 is 36153.