Least Common Multiple of 78/682, 9130/7966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/682, 9130/7966 quickly i.e. 178035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/682, 9130/7966 is 178035.

LCM(78/682, 9130/7966) = 178035

LCM of 78/682, 9130/7966

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 78/682,9130/7966

Given numbers are 78/682,9130/7966

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 78,9130

Least Common Multiple of Numerators i.e. LCM of 78,9130 is 356070.

GCF of Denominators means GCF of 682,7966 as per the given fractions.

GCF of 682,7966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,9130

LCM of Fractions 78/682,9130/7966 is 178035

2 78, 9130
39, 4565

∴ So the LCM of the given numbers is 2 x 39 x 4565 = 356070

Least Common Multiple of 78,9130 with GCF Formula

Least Common Multiple of 78,9130 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 78,9130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,9130) = 2

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

GCF(78,9130) x common factors =2 x 1 = 2

LCM(78,9130) = ( 78 × 9130 ) / 2

LCM(78,9130) = 712140 / 2

LCM(78,9130) = 356070


Lets's calculate GCF of 682,7966

2 682, 7966
341, 3983

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356070/2

Therefore the LCM of Fractions 78/682,9130/7966 is 178035

Greatest Common Factor of 682,7966 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,7966 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1,2,7,14,569,1138,3983,7966

Greatest Common Factor

We found the factors 682,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 682,7966 is 2.


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 78/682, 9130/7966

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 78/682, 9130/7966?

Answer: LCM of Numerators as per given numbers 78/682, 9130/7966 is

LCM of Numerators i.e. for 78,9130 is 356070

GCF of denominators i.e. for 682,7966 is 2.

Thus, LCM of Fractions is 178035.Finally, LCM of Fractions for 78/682, 9130/7966 is 178035.