Least Common Multiple of 78/180, 8208/3196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/180, 8208/3196 quickly i.e. 26676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/180, 8208/3196 is 26676.

LCM(78/180, 8208/3196) = 26676

LCM of 78/180, 8208/3196

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 78/180,8208/3196

Given numbers are 78/180,8208/3196

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 78,8208

Least Common Multiple of Numerators i.e. LCM of 78,8208 is 106704.

GCF of Denominators means GCF of 180,3196 as per the given fractions.

GCF of 180,3196 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,8208

LCM of Fractions 78/180,8208/3196 is 26676

2 78, 8208
3 39, 4104
13, 1368

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1368 = 106704

Least Common Multiple of 78,8208 with GCF Formula

Least Common Multiple of 78,8208 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 78,8208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,8208) = 6

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

GCF(78,8208) x common factors =6 x 1 = 6

LCM(78,8208) = ( 78 × 8208 ) / 6

LCM(78,8208) = 640224 / 6

LCM(78,8208) = 106704


Lets's calculate GCF of 180,3196

2 180, 3196
2 90, 1598
45, 799

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106704/4

Therefore the LCM of Fractions 78/180,8208/3196 is 26676

Greatest Common Factor of 180,3196 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,3196 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 3196

List of positive integer factors of 3196 that divides 3196 without a remainder.

1,2,4,17,34,47,68,94,188,799,1598,3196

Greatest Common Factor

We found the factors 180,3196 . The biggest common factor number is the GCF number.
So the greatest common factor 180,3196 is 4.


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 78/180, 8208/3196

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 78/180, 8208/3196?

Answer: LCM of Numerators as per given numbers 78/180, 8208/3196 is

LCM of Numerators i.e. for 78,8208 is 106704

GCF of denominators i.e. for 180,3196 is 4.

Thus, LCM of Fractions is 26676.Finally, LCM of Fractions for 78/180, 8208/3196 is 26676.