Least Common Multiple of 49/60, 78/29, 394/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/60, 78/29, 394/225 quickly i.e. 752934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/60, 78/29, 394/225 is 752934.

LCM(49/60, 78/29, 394/225) = 752934

LCM of 49/60, 78/29, 394/225

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 49/60,78/29,394/225

Given numbers are 49/60,78/29,394/225

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 49,78,394

Least Common Multiple of Numerators i.e. LCM of 49,78,394 is 752934.

GCF of Denominators means GCF of 60,29,225 as per the given fractions.

GCF of 60,29,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,78,394

LCM of Fractions 49/60,78/29,394/225 is 752934

2 49, 78, 394
49, 39, 197

∴ So the LCM of the given numbers is 2 x 49 x 39 x 197 = 752934

Least Common Multiple of 49,78,394 with GCF Formula

Least Common Multiple of 49,78,394 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 49,78,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,78,394) = 1

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

GCF(49,78,394) x common factors =1 x 2 = 2

LCM(49,78,394) = ( 49 × 78 × 394 ) / 2

LCM(49,78,394) = 1505868 / 2

LCM(49,78,394) = 752934


Lets's calculate GCF of 60,29,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 752934/1

Therefore the LCM of Fractions 49/60,78/29,394/225 is 752934

Greatest Common Factor of 60,29,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,29,225 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 60,29,225 . The biggest common factor number is the GCF number.
So the greatest common factor 60,29,225 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 49/60, 78/29, 394/225

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 49/60, 78/29, 394/225?

Answer: LCM of Numerators as per given numbers 49/60, 78/29, 394/225 is

LCM of Numerators i.e. for 49,78,394 is 752934

GCF of denominators i.e. for 60,29,225 is 1.

Thus, LCM of Fractions is 752934.Finally, LCM of Fractions for 49/60, 78/29, 394/225 is 752934.