Least Common Multiple of 10/789, 9892/2574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/789, 9892/2574 quickly i.e. 49460/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/789, 9892/2574 is 49460/3.

LCM(10/789, 9892/2574) = 49460/3

LCM of 10/789, 9892/2574

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 10/789,9892/2574

Given numbers are 10/789,9892/2574

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 10,9892

Least Common Multiple of Numerators i.e. LCM of 10,9892 is 49460.

GCF of Denominators means GCF of 789,2574 as per the given fractions.

GCF of 789,2574 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,9892

LCM of Fractions 10/789,9892/2574 is 49460/3

2 10, 9892
5, 4946

∴ So the LCM of the given numbers is 2 x 5 x 4946 = 49460

Least Common Multiple of 10,9892 with GCF Formula

Least Common Multiple of 10,9892 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 10,9892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,9892) = 2

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

GCF(10,9892) x common factors =2 x 1 = 2

LCM(10,9892) = ( 10 × 9892 ) / 2

LCM(10,9892) = 98920 / 2

LCM(10,9892) = 49460


Lets's calculate GCF of 789,2574

3 789, 2574
263, 858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49460/3

Therefore the LCM of Fractions 10/789,9892/2574 is 49460/3

Greatest Common Factor of 789,2574 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,2574 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 2574

List of positive integer factors of 2574 that divides 2574 without a remainder.

1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574

Greatest Common Factor

We found the factors 789,2574 . The biggest common factor number is the GCF number.
So the greatest common factor 789,2574 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 10/789, 9892/2574

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 10/789, 9892/2574?

Answer: LCM of Numerators as per given numbers 10/789, 9892/2574 is

LCM of Numerators i.e. for 10,9892 is 49460

GCF of denominators i.e. for 789,2574 is 3.

Thus, LCM of Fractions is 49460/3.Finally, LCM of Fractions for 10/789, 9892/2574 is 49460/3.