Least Common Multiple of 31/578, 7431/8964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/578, 7431/8964 quickly i.e. 230361/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/578, 7431/8964 is 230361/2.

LCM(31/578, 7431/8964) = 230361/2

LCM of 31/578, 7431/8964

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 31/578,7431/8964

Given numbers are 31/578,7431/8964

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 31,7431

Least Common Multiple of Numerators i.e. LCM of 31,7431 is 230361.

GCF of Denominators means GCF of 578,8964 as per the given fractions.

GCF of 578,8964 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,7431

LCM of Fractions 31/578,7431/8964 is 230361/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 230361

Least Common Multiple of 31,7431 with GCF Formula

Least Common Multiple of 31,7431 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 31,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,7431) = 1

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

GCF(31,7431) x common factors =1 x 1 = 1

LCM(31,7431) = ( 31 × 7431 ) / 1

LCM(31,7431) = 230361 / 1

LCM(31,7431) = 230361


Lets's calculate GCF of 578,8964

2 578, 8964
289, 4482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230361/2

Therefore the LCM of Fractions 31/578,7431/8964 is 230361/2

Greatest Common Factor of 578,8964 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,8964 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors 578,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 578,8964 is 2.


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 31/578, 7431/8964

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 31/578, 7431/8964?

Answer: LCM of Numerators as per given numbers 31/578, 7431/8964 is

LCM of Numerators i.e. for 31,7431 is 230361

GCF of denominators i.e. for 578,8964 is 2.

Thus, LCM of Fractions is 230361/2.Finally, LCM of Fractions for 31/578, 7431/8964 is 230361/2.