Least Common Multiple of 78/45, 627/43, 751/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/45, 627/43, 751/904 quickly i.e. 12242802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/45, 627/43, 751/904 is 12242802.

LCM(78/45, 627/43, 751/904) = 12242802

LCM of 78/45, 627/43, 751/904

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 78/45,627/43,751/904

Given numbers are 78/45,627/43,751/904

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 78,627,751

Least Common Multiple of Numerators i.e. LCM of 78,627,751 is 12242802.

GCF of Denominators means GCF of 45,43,904 as per the given fractions.

GCF of 45,43,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,627,751

LCM of Fractions 78/45,627/43,751/904 is 12242802

3 78, 627, 751
26, 209, 751

∴ So the LCM of the given numbers is 3 x 26 x 209 x 751 = 12242802

Least Common Multiple of 78,627,751 with GCF Formula

Least Common Multiple of 78,627,751 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 78,627,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,627,751) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,627,751) x common factors =1 x 3 = 3

LCM(78,627,751) = ( 78 × 627 × 751 ) / 3

LCM(78,627,751) = 36728406 / 3

LCM(78,627,751) = 12242802


Lets's calculate GCF of 45,43,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12242802/1

Therefore the LCM of Fractions 78/45,627/43,751/904 is 12242802

Greatest Common Factor of 45,43,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,43,904 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 45,43,904 . The biggest common factor number is the GCF number.
So the greatest common factor 45,43,904 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 78/45, 627/43, 751/904

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 78/45, 627/43, 751/904?

Answer: LCM of Numerators as per given numbers 78/45, 627/43, 751/904 is

LCM of Numerators i.e. for 78,627,751 is 12242802

GCF of denominators i.e. for 45,43,904 is 1.

Thus, LCM of Fractions is 12242802.Finally, LCM of Fractions for 78/45, 627/43, 751/904 is 12242802.