Least Common Multiple of 9602/492, 1850/6879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9602/492, 1850/6879 quickly i.e. 8881850/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9602/492, 1850/6879 is 8881850/3.

LCM(9602/492, 1850/6879) = 8881850/3

LCM of 9602/492, 1850/6879

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 9602/492,1850/6879

Given numbers are 9602/492,1850/6879

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 9602,1850

Least Common Multiple of Numerators i.e. LCM of 9602,1850 is 8881850.

GCF of Denominators means GCF of 492,6879 as per the given fractions.

GCF of 492,6879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9602,1850

LCM of Fractions 9602/492,1850/6879 is 8881850/3

2 9602, 1850
4801, 925

∴ So the LCM of the given numbers is 2 x 4801 x 925 = 8881850

Least Common Multiple of 9602,1850 with GCF Formula

Least Common Multiple of 9602,1850 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 9602,1850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9602,1850) = 2

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

GCF(9602,1850) x common factors =2 x 1 = 2

LCM(9602,1850) = ( 9602 × 1850 ) / 2

LCM(9602,1850) = 17763700 / 2

LCM(9602,1850) = 8881850


Lets's calculate GCF of 492,6879

3 492, 6879
164, 2293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8881850/3

Therefore the LCM of Fractions 9602/492,1850/6879 is 8881850/3

Greatest Common Factor of 492,6879 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,6879 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 6879

List of positive integer factors of 6879 that divides 6879 without a remainder.

1,3,2293,6879

Greatest Common Factor

We found the factors 492,6879 . The biggest common factor number is the GCF number.
So the greatest common factor 492,6879 is 3.


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 9602/492, 1850/6879

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 9602/492, 1850/6879?

Answer: LCM of Numerators as per given numbers 9602/492, 1850/6879 is

LCM of Numerators i.e. for 9602,1850 is 8881850

GCF of denominators i.e. for 492,6879 is 3.

Thus, LCM of Fractions is 8881850/3.Finally, LCM of Fractions for 9602/492, 1850/6879 is 8881850/3.