Least Common Multiple of 102/108, 1307/6220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/108, 1307/6220 quickly i.e. 133314/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/108, 1307/6220 is 133314/4.

LCM(102/108, 1307/6220) = 133314/4

LCM of 102/108, 1307/6220

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 102/108,1307/6220

Given numbers are 102/108,1307/6220

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 102,1307

Least Common Multiple of Numerators i.e. LCM of 102,1307 is 133314.

GCF of Denominators means GCF of 108,6220 as per the given fractions.

GCF of 108,6220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,1307

LCM of Fractions 102/108,1307/6220 is 133314/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 133314

Least Common Multiple of 102,1307 with GCF Formula

Least Common Multiple of 102,1307 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 102,1307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,1307) = 1

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

GCF(102,1307) x common factors =1 x 1 = 1

LCM(102,1307) = ( 102 × 1307 ) / 1

LCM(102,1307) = 133314 / 1

LCM(102,1307) = 133314


Lets's calculate GCF of 108,6220

2 108, 6220
2 54, 3110
27, 1555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133314/4

Therefore the LCM of Fractions 102/108,1307/6220 is 133314/4

Greatest Common Factor of 108,6220 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,6220 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1,2,4,5,10,20,311,622,1244,1555,3110,6220

Greatest Common Factor

We found the factors 108,6220 . The biggest common factor number is the GCF number.
So the greatest common factor 108,6220 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 102/108, 1307/6220

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 102/108, 1307/6220?

Answer: LCM of Numerators as per given numbers 102/108, 1307/6220 is

LCM of Numerators i.e. for 102,1307 is 133314

GCF of denominators i.e. for 108,6220 is 4.

Thus, LCM of Fractions is 133314/4.Finally, LCM of Fractions for 102/108, 1307/6220 is 133314/4.