Least Common Multiple of 342/39, 709/6410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/39, 709/6410 quickly i.e. 242478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/39, 709/6410 is 242478.

LCM(342/39, 709/6410) = 242478

LCM of 342/39, 709/6410

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 342/39,709/6410

Given numbers are 342/39,709/6410

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 342,709

Least Common Multiple of Numerators i.e. LCM of 342,709 is 242478.

GCF of Denominators means GCF of 39,6410 as per the given fractions.

GCF of 39,6410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,709

LCM of Fractions 342/39,709/6410 is 242478

Given numbers has no common factors except 1. So, there LCM is their product i.e 242478

Least Common Multiple of 342,709 with GCF Formula

Least Common Multiple of 342,709 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 342,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,709) = 1

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

GCF(342,709) x common factors =1 x 1 = 1

LCM(342,709) = ( 342 × 709 ) / 1

LCM(342,709) = 242478 / 1

LCM(342,709) = 242478


Lets's calculate GCF of 39,6410

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242478/1

Therefore the LCM of Fractions 342/39,709/6410 is 242478

Greatest Common Factor of 39,6410 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,6410 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 6410

List of positive integer factors of 6410 that divides 6410 without a remainder.

1,2,5,10,641,1282,3205,6410

Greatest Common Factor

We found the factors 39,6410 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6410 is 1.


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 342/39, 709/6410

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 342/39, 709/6410?

Answer: LCM of Numerators as per given numbers 342/39, 709/6410 is

LCM of Numerators i.e. for 342,709 is 242478

GCF of denominators i.e. for 39,6410 is 1.

Thus, LCM of Fractions is 242478.Finally, LCM of Fractions for 342/39, 709/6410 is 242478.