Least Common Multiple of 10/296, 4996/5892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/296, 4996/5892 quickly i.e. 6245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/296, 4996/5892 is 6245.

LCM(10/296, 4996/5892) = 6245

LCM of 10/296, 4996/5892

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 10/296,4996/5892

Given numbers are 10/296,4996/5892

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 10,4996

Least Common Multiple of Numerators i.e. LCM of 10,4996 is 24980.

GCF of Denominators means GCF of 296,5892 as per the given fractions.

GCF of 296,5892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,4996

LCM of Fractions 10/296,4996/5892 is 6245

2 10, 4996
5, 2498

∴ So the LCM of the given numbers is 2 x 5 x 2498 = 24980

Least Common Multiple of 10,4996 with GCF Formula

Least Common Multiple of 10,4996 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 10,4996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,4996) = 2

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

GCF(10,4996) x common factors =2 x 1 = 2

LCM(10,4996) = ( 10 × 4996 ) / 2

LCM(10,4996) = 49960 / 2

LCM(10,4996) = 24980


Lets's calculate GCF of 296,5892

2 296, 5892
2 148, 2946
74, 1473

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24980/4

Therefore the LCM of Fractions 10/296,4996/5892 is 6245

Greatest Common Factor of 296,5892 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,5892 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1,2,3,4,6,12,491,982,1473,1964,2946,5892

Greatest Common Factor

We found the factors 296,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 296,5892 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/296, 4996/5892

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 10/296, 4996/5892?

Answer: LCM of Numerators as per given numbers 10/296, 4996/5892 is

LCM of Numerators i.e. for 10,4996 is 24980

GCF of denominators i.e. for 296,5892 is 4.

Thus, LCM of Fractions is 6245.Finally, LCM of Fractions for 10/296, 4996/5892 is 6245.