Least Common Multiple of 741/262, 7317/9202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 741/262, 7317/9202 quickly i.e. 1807299/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/262, 7317/9202 is 1807299/2.

LCM(741/262, 7317/9202) = 1807299/2

LCM of 741/262, 7317/9202

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 741/262,7317/9202

Given numbers are 741/262,7317/9202

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 741,7317

Least Common Multiple of Numerators i.e. LCM of 741,7317 is 1807299.

GCF of Denominators means GCF of 262,9202 as per the given fractions.

GCF of 262,9202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,7317

LCM of Fractions 741/262,7317/9202 is 1807299/2

3 741, 7317
247, 2439

∴ So the LCM of the given numbers is 3 x 247 x 2439 = 1807299

Least Common Multiple of 741,7317 with GCF Formula

Least Common Multiple of 741,7317 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 741,7317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,7317) = 3

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

GCF(741,7317) x common factors =3 x 1 = 3

LCM(741,7317) = ( 741 × 7317 ) / 3

LCM(741,7317) = 5421897 / 3

LCM(741,7317) = 1807299


Lets's calculate GCF of 262,9202

2 262, 9202
131, 4601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807299/2

Therefore the LCM of Fractions 741/262,7317/9202 is 1807299/2

Greatest Common Factor of 262,9202 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,9202 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 9202

List of positive integer factors of 9202 that divides 9202 without a remainder.

1,2,43,86,107,214,4601,9202

Greatest Common Factor

We found the factors 262,9202 . The biggest common factor number is the GCF number.
So the greatest common factor 262,9202 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 741/262, 7317/9202

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 741/262, 7317/9202?

Answer: LCM of Numerators as per given numbers 741/262, 7317/9202 is

LCM of Numerators i.e. for 741,7317 is 1807299

GCF of denominators i.e. for 262,9202 is 2.

Thus, LCM of Fractions is 1807299/2.Finally, LCM of Fractions for 741/262, 7317/9202 is 1807299/2.