Least Common Multiple of 7839/358, 2209/9710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7839/358, 2209/9710 quickly i.e. 17316351/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7839/358, 2209/9710 is 17316351/2.

LCM(7839/358, 2209/9710) = 17316351/2

LCM of 7839/358, 2209/9710

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 7839/358,2209/9710

Given numbers are 7839/358,2209/9710

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 7839,2209

Least Common Multiple of Numerators i.e. LCM of 7839,2209 is 17316351.

GCF of Denominators means GCF of 358,9710 as per the given fractions.

GCF of 358,9710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7839,2209

LCM of Fractions 7839/358,2209/9710 is 17316351/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 17316351

Least Common Multiple of 7839,2209 with GCF Formula

Least Common Multiple of 7839,2209 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 7839,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7839,2209) = 1

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

GCF(7839,2209) x common factors =1 x 1 = 1

LCM(7839,2209) = ( 7839 × 2209 ) / 1

LCM(7839,2209) = 17316351 / 1

LCM(7839,2209) = 17316351


Lets's calculate GCF of 358,9710

2 358, 9710
179, 4855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17316351/2

Therefore the LCM of Fractions 7839/358,2209/9710 is 17316351/2

Greatest Common Factor of 358,9710 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,9710 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors 358,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 358,9710 is 2.


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 7839/358, 2209/9710

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 7839/358, 2209/9710?

Answer: LCM of Numerators as per given numbers 7839/358, 2209/9710 is

LCM of Numerators i.e. for 7839,2209 is 17316351

GCF of denominators i.e. for 358,9710 is 2.

Thus, LCM of Fractions is 17316351/2.Finally, LCM of Fractions for 7839/358, 2209/9710 is 17316351/2.