Least Common Multiple of 9845/752, 6209/4598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9845/752, 6209/4598 quickly i.e. 61127605/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9845/752, 6209/4598 is 61127605/2.

LCM(9845/752, 6209/4598) = 61127605/2

LCM of 9845/752, 6209/4598

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 9845/752,6209/4598

Given numbers are 9845/752,6209/4598

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 9845,6209

Least Common Multiple of Numerators i.e. LCM of 9845,6209 is 61127605.

GCF of Denominators means GCF of 752,4598 as per the given fractions.

GCF of 752,4598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9845,6209

LCM of Fractions 9845/752,6209/4598 is 61127605/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 61127605

Least Common Multiple of 9845,6209 with GCF Formula

Least Common Multiple of 9845,6209 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 9845,6209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9845,6209) = 1

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

GCF(9845,6209) x common factors =1 x 1 = 1

LCM(9845,6209) = ( 9845 × 6209 ) / 1

LCM(9845,6209) = 61127605 / 1

LCM(9845,6209) = 61127605


Lets's calculate GCF of 752,4598

2 752, 4598
376, 2299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61127605/2

Therefore the LCM of Fractions 9845/752,6209/4598 is 61127605/2

Greatest Common Factor of 752,4598 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,4598 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 4598

List of positive integer factors of 4598 that divides 4598 without a remainder.

1,2,11,19,22,38,121,209,242,418,2299,4598

Greatest Common Factor

We found the factors 752,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 752,4598 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9845/752, 6209/4598

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 9845/752, 6209/4598?

Answer: LCM of Numerators as per given numbers 9845/752, 6209/4598 is

LCM of Numerators i.e. for 9845,6209 is 61127605

GCF of denominators i.e. for 752,4598 is 2.

Thus, LCM of Fractions is 61127605/2.Finally, LCM of Fractions for 9845/752, 6209/4598 is 61127605/2.