Least Common Multiple of 716/309, 7988/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/309, 7988/294 quickly i.e. 1429852/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/309, 7988/294 is 1429852/3.

LCM(716/309, 7988/294) = 1429852/3

LCM of 716/309, 7988/294

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 716/309,7988/294

Given numbers are 716/309,7988/294

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 716,7988

Least Common Multiple of Numerators i.e. LCM of 716,7988 is 1429852.

GCF of Denominators means GCF of 309,294 as per the given fractions.

GCF of 309,294 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,7988

LCM of Fractions 716/309,7988/294 is 1429852/3

2 716, 7988
2 358, 3994
179, 1997

∴ So the LCM of the given numbers is 2 x 2 x 179 x 1997 = 1429852

Least Common Multiple of 716,7988 with GCF Formula

Least Common Multiple of 716,7988 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 716,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,7988) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(716,7988) x common factors =4 x 1 = 4

LCM(716,7988) = ( 716 × 7988 ) / 4

LCM(716,7988) = 5719408 / 4

LCM(716,7988) = 1429852


Lets's calculate GCF of 309,294

3 309, 294
103, 98

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1429852/3

Therefore the LCM of Fractions 716/309,7988/294 is 1429852/3

Greatest Common Factor of 309,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,294 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 309,294 . The biggest common factor number is the GCF number.
So the greatest common factor 309,294 is 3.


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 716/309, 7988/294

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 716/309, 7988/294?

Answer: LCM of Numerators as per given numbers 716/309, 7988/294 is

LCM of Numerators i.e. for 716,7988 is 1429852

GCF of denominators i.e. for 309,294 is 3.

Thus, LCM of Fractions is 1429852/3.Finally, LCM of Fractions for 716/309, 7988/294 is 1429852/3.