Least Common Multiple of 78/39, 48/15, 45/52, 95/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/39, 48/15, 45/52, 95/681 quickly i.e. 177840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/39, 48/15, 45/52, 95/681 is 177840.

LCM(78/39, 48/15, 45/52, 95/681) = 177840

LCM of 78/39, 48/15, 45/52, 95/681

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 78/39,48/15,45/52,95/681

Given numbers are 78/39,48/15,45/52,95/681

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 78,48,45,95

Least Common Multiple of Numerators i.e. LCM of 78,48,45,95 is 177840.

GCF of Denominators means GCF of 39,15,52,681 as per the given fractions.

GCF of 39,15,52,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,48,45,95

LCM of Fractions 78/39,48/15,45/52,95/681 is 177840

2 78, 48, 45, 95
3 39, 24, 45, 95
5 13, 8, 15, 95
13, 8, 3, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 8 x 3 x 19 = 177840

Least Common Multiple of 78,48,45,95 with GCF Formula

Least Common Multiple of 78,48,45,95 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 78,48,45,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,48,45,95) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(78,48,45,95) x common factors =1 x 90 = 90

LCM(78,48,45,95) = ( 78 × 48 × 45 × 95 ) / 90

LCM(78,48,45,95) = 16005600 / 90

LCM(78,48,45,95) = 177840


Lets's calculate GCF of 39,15,52,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177840/1

Therefore the LCM of Fractions 78/39,48/15,45/52,95/681 is 177840

Greatest Common Factor of 39,15,52,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,15,52,681 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 39,15,52,681 . The biggest common factor number is the GCF number.
So the greatest common factor 39,15,52,681 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 78/39, 48/15, 45/52, 95/681

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 78/39, 48/15, 45/52, 95/681?

Answer: LCM of Numerators as per given numbers 78/39, 48/15, 45/52, 95/681 is

LCM of Numerators i.e. for 78,48,45,95 is 177840

GCF of denominators i.e. for 39,15,52,681 is 1.

Thus, LCM of Fractions is 177840.Finally, LCM of Fractions for 78/39, 48/15, 45/52, 95/681 is 177840.