Least Common Multiple of 78/31, 62/45, 179/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/31, 62/45, 179/496 quickly i.e. 432822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/31, 62/45, 179/496 is 432822.

LCM(78/31, 62/45, 179/496) = 432822

LCM of 78/31, 62/45, 179/496

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 78/31,62/45,179/496

Given numbers are 78/31,62/45,179/496

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 78,62,179

Least Common Multiple of Numerators i.e. LCM of 78,62,179 is 432822.

GCF of Denominators means GCF of 31,45,496 as per the given fractions.

GCF of 31,45,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,62,179

LCM of Fractions 78/31,62/45,179/496 is 432822

2 78, 62, 179
39, 31, 179

∴ So the LCM of the given numbers is 2 x 39 x 31 x 179 = 432822

Least Common Multiple of 78,62,179 with GCF Formula

Least Common Multiple of 78,62,179 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 78,62,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,62,179) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,62,179) x common factors =1 x 2 = 2

LCM(78,62,179) = ( 78 × 62 × 179 ) / 2

LCM(78,62,179) = 865644 / 2

LCM(78,62,179) = 432822


Lets's calculate GCF of 31,45,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432822/1

Therefore the LCM of Fractions 78/31,62/45,179/496 is 432822

Greatest Common Factor of 31,45,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,45,496 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 31,45,496 . The biggest common factor number is the GCF number.
So the greatest common factor 31,45,496 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 78/31, 62/45, 179/496

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 78/31, 62/45, 179/496?

Answer: LCM of Numerators as per given numbers 78/31, 62/45, 179/496 is

LCM of Numerators i.e. for 78,62,179 is 432822

GCF of denominators i.e. for 31,45,496 is 1.

Thus, LCM of Fractions is 432822.Finally, LCM of Fractions for 78/31, 62/45, 179/496 is 432822.