Least Common Multiple of 531/74, 281/9657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/74, 281/9657 quickly i.e. 149211/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/74, 281/9657 is 149211/37.

LCM(531/74, 281/9657) = 149211/37

LCM of 531/74, 281/9657

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 531/74,281/9657

Given numbers are 531/74,281/9657

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 531,281

Least Common Multiple of Numerators i.e. LCM of 531,281 is 149211.

GCF of Denominators means GCF of 74,9657 as per the given fractions.

GCF of 74,9657 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,281

LCM of Fractions 531/74,281/9657 is 149211/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 149211

Least Common Multiple of 531,281 with GCF Formula

Least Common Multiple of 531,281 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 531,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,281) = 1

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

GCF(531,281) x common factors =1 x 1 = 1

LCM(531,281) = ( 531 × 281 ) / 1

LCM(531,281) = 149211 / 1

LCM(531,281) = 149211


Lets's calculate GCF of 74,9657

37 74, 9657
2, 261

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149211/37

Therefore the LCM of Fractions 531/74,281/9657 is 149211/37

Greatest Common Factor of 74,9657 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,9657 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Greatest Common Factor

We found the factors 74,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 74,9657 is 37.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 531/74, 281/9657

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 531/74, 281/9657?

Answer: LCM of Numerators as per given numbers 531/74, 281/9657 is

LCM of Numerators i.e. for 531,281 is 149211

GCF of denominators i.e. for 74,9657 is 37.

Thus, LCM of Fractions is 149211/37.Finally, LCM of Fractions for 531/74, 281/9657 is 149211/37.