Least Common Multiple of 342/12, 398/6780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/12, 398/6780 quickly i.e. 68058/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/12, 398/6780 is 68058/12.

LCM(342/12, 398/6780) = 68058/12

LCM of 342/12, 398/6780

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 342/12,398/6780

Given numbers are 342/12,398/6780

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 342,398

Least Common Multiple of Numerators i.e. LCM of 342,398 is 68058.

GCF of Denominators means GCF of 12,6780 as per the given fractions.

GCF of 12,6780 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,398

LCM of Fractions 342/12,398/6780 is 68058/12

2 342, 398
171, 199

∴ So the LCM of the given numbers is 2 x 171 x 199 = 68058

Least Common Multiple of 342,398 with GCF Formula

Least Common Multiple of 342,398 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 342,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,398) = 2

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

GCF(342,398) x common factors =2 x 1 = 2

LCM(342,398) = ( 342 × 398 ) / 2

LCM(342,398) = 136116 / 2

LCM(342,398) = 68058


Lets's calculate GCF of 12,6780

2 12, 6780
2 6, 3390
3 3, 1695
1, 565

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68058/12

Therefore the LCM of Fractions 342/12,398/6780 is 68058/12

Greatest Common Factor of 12,6780 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,6780 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Greatest Common Factor

We found the factors 12,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 12,6780 is 12.


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 342/12, 398/6780

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 342/12, 398/6780?

Answer: LCM of Numerators as per given numbers 342/12, 398/6780 is

LCM of Numerators i.e. for 342,398 is 68058

GCF of denominators i.e. for 12,6780 is 12.

Thus, LCM of Fractions is 68058/12.Finally, LCM of Fractions for 342/12, 398/6780 is 68058/12.