Least Common Multiple of 9257/488, 3031/8481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9257/488, 3031/8481 quickly i.e. 28057967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9257/488, 3031/8481 is 28057967.

LCM(9257/488, 3031/8481) = 28057967

LCM of 9257/488, 3031/8481

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 9257/488,3031/8481

Given numbers are 9257/488,3031/8481

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 9257,3031

Least Common Multiple of Numerators i.e. LCM of 9257,3031 is 28057967.

GCF of Denominators means GCF of 488,8481 as per the given fractions.

GCF of 488,8481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9257,3031

LCM of Fractions 9257/488,3031/8481 is 28057967

Given numbers has no common factors except 1. So, there LCM is their product i.e 28057967

Least Common Multiple of 9257,3031 with GCF Formula

Least Common Multiple of 9257,3031 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 9257,3031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9257,3031) = 1

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

GCF(9257,3031) x common factors =1 x 1 = 1

LCM(9257,3031) = ( 9257 × 3031 ) / 1

LCM(9257,3031) = 28057967 / 1

LCM(9257,3031) = 28057967


Lets's calculate GCF of 488,8481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28057967/1

Therefore the LCM of Fractions 9257/488,3031/8481 is 28057967

Greatest Common Factor of 488,8481 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,8481 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1,3,11,33,257,771,2827,8481

Greatest Common Factor

We found the factors 488,8481 . The biggest common factor number is the GCF number.
So the greatest common factor 488,8481 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9257/488, 3031/8481

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 9257/488, 3031/8481?

Answer: LCM of Numerators as per given numbers 9257/488, 3031/8481 is

LCM of Numerators i.e. for 9257,3031 is 28057967

GCF of denominators i.e. for 488,8481 is 1.

Thus, LCM of Fractions is 28057967.Finally, LCM of Fractions for 9257/488, 3031/8481 is 28057967.