Least Common Multiple of 78/73, 594/12, 456/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/73, 594/12, 456/634 quickly i.e. 586872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/73, 594/12, 456/634 is 586872.

LCM(78/73, 594/12, 456/634) = 586872

LCM of 78/73, 594/12, 456/634

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 78/73,594/12,456/634

Given numbers are 78/73,594/12,456/634

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 78,594,456

Least Common Multiple of Numerators i.e. LCM of 78,594,456 is 586872.

GCF of Denominators means GCF of 73,12,634 as per the given fractions.

GCF of 73,12,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,594,456

LCM of Fractions 78/73,594/12,456/634 is 586872

2 78, 594, 456
3 39, 297, 228
13, 99, 76

∴ So the LCM of the given numbers is 2 x 3 x 13 x 99 x 76 = 586872

Least Common Multiple of 78,594,456 with GCF Formula

Least Common Multiple of 78,594,456 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 78,594,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,594,456) = 6

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

GCF(78,594,456) x common factors =6 x 6 = 36

LCM(78,594,456) = ( 78 × 594 × 456 ) / 36

LCM(78,594,456) = 21127392 / 36

LCM(78,594,456) = 586872


Lets's calculate GCF of 73,12,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586872/1

Therefore the LCM of Fractions 78/73,594/12,456/634 is 586872

Greatest Common Factor of 73,12,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,12,634 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 73,12,634 . The biggest common factor number is the GCF number.
So the greatest common factor 73,12,634 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 78/73, 594/12, 456/634

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 78/73, 594/12, 456/634?

Answer: LCM of Numerators as per given numbers 78/73, 594/12, 456/634 is

LCM of Numerators i.e. for 78,594,456 is 586872

GCF of denominators i.e. for 73,12,634 is 1.

Thus, LCM of Fractions is 586872.Finally, LCM of Fractions for 78/73, 594/12, 456/634 is 586872.