Least Common Multiple of 9256/741, 4255/1557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9256/741, 4255/1557 quickly i.e. 39384280/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9256/741, 4255/1557 is 39384280/3.

LCM(9256/741, 4255/1557) = 39384280/3

LCM of 9256/741, 4255/1557

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 9256/741,4255/1557

Given numbers are 9256/741,4255/1557

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 9256,4255

Least Common Multiple of Numerators i.e. LCM of 9256,4255 is 39384280.

GCF of Denominators means GCF of 741,1557 as per the given fractions.

GCF of 741,1557 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9256,4255

LCM of Fractions 9256/741,4255/1557 is 39384280/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 39384280

Least Common Multiple of 9256,4255 with GCF Formula

Least Common Multiple of 9256,4255 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 9256,4255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9256,4255) = 1

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

GCF(9256,4255) x common factors =1 x 1 = 1

LCM(9256,4255) = ( 9256 × 4255 ) / 1

LCM(9256,4255) = 39384280 / 1

LCM(9256,4255) = 39384280


Lets's calculate GCF of 741,1557

3 741, 1557
247, 519

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39384280/3

Therefore the LCM of Fractions 9256/741,4255/1557 is 39384280/3

Greatest Common Factor of 741,1557 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,1557 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 1557

List of positive integer factors of 1557 that divides 1557 without a remainder.

1,3,9,173,519,1557

Greatest Common Factor

We found the factors 741,1557 . The biggest common factor number is the GCF number.
So the greatest common factor 741,1557 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9256/741, 4255/1557

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 9256/741, 4255/1557?

Answer: LCM of Numerators as per given numbers 9256/741, 4255/1557 is

LCM of Numerators i.e. for 9256,4255 is 39384280

GCF of denominators i.e. for 741,1557 is 3.

Thus, LCM of Fractions is 39384280/3.Finally, LCM of Fractions for 9256/741, 4255/1557 is 39384280/3.