Least Common Multiple of 98/745, 2196/5772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/745, 2196/5772 quickly i.e. 107604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/745, 2196/5772 is 107604.

LCM(98/745, 2196/5772) = 107604

LCM of 98/745, 2196/5772

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 98/745,2196/5772

Given numbers are 98/745,2196/5772

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 98,2196

Least Common Multiple of Numerators i.e. LCM of 98,2196 is 107604.

GCF of Denominators means GCF of 745,5772 as per the given fractions.

GCF of 745,5772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,2196

LCM of Fractions 98/745,2196/5772 is 107604

2 98, 2196
49, 1098

∴ So the LCM of the given numbers is 2 x 49 x 1098 = 107604

Least Common Multiple of 98,2196 with GCF Formula

Least Common Multiple of 98,2196 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 98,2196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,2196) = 2

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

GCF(98,2196) x common factors =2 x 1 = 2

LCM(98,2196) = ( 98 × 2196 ) / 2

LCM(98,2196) = 215208 / 2

LCM(98,2196) = 107604


Lets's calculate GCF of 745,5772

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107604/1

Therefore the LCM of Fractions 98/745,2196/5772 is 107604

Greatest Common Factor of 745,5772 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,5772 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Greatest Common Factor

We found the factors 745,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 745,5772 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/745, 2196/5772

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 98/745, 2196/5772?

Answer: LCM of Numerators as per given numbers 98/745, 2196/5772 is

LCM of Numerators i.e. for 98,2196 is 107604

GCF of denominators i.e. for 745,5772 is 1.

Thus, LCM of Fractions is 107604.Finally, LCM of Fractions for 98/745, 2196/5772 is 107604.