Least Common Multiple of 6522/296, 6200/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6522/296, 6200/112 quickly i.e. 2527275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6522/296, 6200/112 is 2527275.

LCM(6522/296, 6200/112) = 2527275

LCM of 6522/296, 6200/112

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 6522/296,6200/112

Given numbers are 6522/296,6200/112

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 6522,6200

Least Common Multiple of Numerators i.e. LCM of 6522,6200 is 20218200.

GCF of Denominators means GCF of 296,112 as per the given fractions.

GCF of 296,112 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6522,6200

LCM of Fractions 6522/296,6200/112 is 2527275

2 6522, 6200
3261, 3100

∴ So the LCM of the given numbers is 2 x 3261 x 3100 = 20218200

Least Common Multiple of 6522,6200 with GCF Formula

Least Common Multiple of 6522,6200 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 6522,6200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6522,6200) = 2

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

GCF(6522,6200) x common factors =2 x 1 = 2

LCM(6522,6200) = ( 6522 × 6200 ) / 2

LCM(6522,6200) = 40436400 / 2

LCM(6522,6200) = 20218200


Lets's calculate GCF of 296,112

2 296, 112
2 148, 56
2 74, 28
37, 14

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20218200/8

Therefore the LCM of Fractions 6522/296,6200/112 is 2527275

Greatest Common Factor of 296,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,112 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 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 296,112 . The biggest common factor number is the GCF number.
So the greatest common factor 296,112 is 8.


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 6522/296, 6200/112

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 6522/296, 6200/112?

Answer: LCM of Numerators as per given numbers 6522/296, 6200/112 is

LCM of Numerators i.e. for 6522,6200 is 20218200

GCF of denominators i.e. for 296,112 is 8.

Thus, LCM of Fractions is 2527275.Finally, LCM of Fractions for 6522/296, 6200/112 is 2527275.