Least Common Multiple of 294/72, 739/61, 712/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/72, 739/61, 712/322 quickly i.e. 77346696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/72, 739/61, 712/322 is 77346696.

LCM(294/72, 739/61, 712/322) = 77346696

LCM of 294/72, 739/61, 712/322

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 294/72,739/61,712/322

Given numbers are 294/72,739/61,712/322

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 294,739,712

Least Common Multiple of Numerators i.e. LCM of 294,739,712 is 77346696.

GCF of Denominators means GCF of 72,61,322 as per the given fractions.

GCF of 72,61,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,739,712

LCM of Fractions 294/72,739/61,712/322 is 77346696

2 294, 739, 712
147, 739, 356

∴ So the LCM of the given numbers is 2 x 147 x 739 x 356 = 77346696

Least Common Multiple of 294,739,712 with GCF Formula

Least Common Multiple of 294,739,712 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 294,739,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,739,712) = 1

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

GCF(294,739,712) x common factors =1 x 2 = 2

LCM(294,739,712) = ( 294 × 739 × 712 ) / 2

LCM(294,739,712) = 154693392 / 2

LCM(294,739,712) = 77346696


Lets's calculate GCF of 72,61,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77346696/1

Therefore the LCM of Fractions 294/72,739/61,712/322 is 77346696

Greatest Common Factor of 72,61,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,61,322 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 72,61,322 . The biggest common factor number is the GCF number.
So the greatest common factor 72,61,322 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 294/72, 739/61, 712/322

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 294/72, 739/61, 712/322?

Answer: LCM of Numerators as per given numbers 294/72, 739/61, 712/322 is

LCM of Numerators i.e. for 294,739,712 is 77346696

GCF of denominators i.e. for 72,61,322 is 1.

Thus, LCM of Fractions is 77346696.Finally, LCM of Fractions for 294/72, 739/61, 712/322 is 77346696.