Least Common Multiple of 9735/707, 6385/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9735/707, 6385/342 quickly i.e. 12431595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9735/707, 6385/342 is 12431595.

LCM(9735/707, 6385/342) = 12431595

LCM of 9735/707, 6385/342

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 9735/707,6385/342

Given numbers are 9735/707,6385/342

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 9735,6385

Least Common Multiple of Numerators i.e. LCM of 9735,6385 is 12431595.

GCF of Denominators means GCF of 707,342 as per the given fractions.

GCF of 707,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9735,6385

LCM of Fractions 9735/707,6385/342 is 12431595

5 9735, 6385
1947, 1277

∴ So the LCM of the given numbers is 5 x 1947 x 1277 = 12431595

Least Common Multiple of 9735,6385 with GCF Formula

Least Common Multiple of 9735,6385 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 9735,6385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9735,6385) = 5

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

GCF(9735,6385) x common factors =5 x 1 = 5

LCM(9735,6385) = ( 9735 × 6385 ) / 5

LCM(9735,6385) = 62157975 / 5

LCM(9735,6385) = 12431595


Lets's calculate GCF of 707,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12431595/1

Therefore the LCM of Fractions 9735/707,6385/342 is 12431595

Greatest Common Factor of 707,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,342 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 707,342 . The biggest common factor number is the GCF number.
So the greatest common factor 707,342 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 9735/707, 6385/342

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 9735/707, 6385/342?

Answer: LCM of Numerators as per given numbers 9735/707, 6385/342 is

LCM of Numerators i.e. for 9735,6385 is 12431595

GCF of denominators i.e. for 707,342 is 1.

Thus, LCM of Fractions is 12431595.Finally, LCM of Fractions for 9735/707, 6385/342 is 12431595.