Least Common Multiple of 457/72, 584/8935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/72, 584/8935 quickly i.e. 266888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/72, 584/8935 is 266888.

LCM(457/72, 584/8935) = 266888

LCM of 457/72, 584/8935

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 457/72,584/8935

Given numbers are 457/72,584/8935

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 457,584

Least Common Multiple of Numerators i.e. LCM of 457,584 is 266888.

GCF of Denominators means GCF of 72,8935 as per the given fractions.

GCF of 72,8935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,584

LCM of Fractions 457/72,584/8935 is 266888

Given numbers has no common factors except 1. So, there LCM is their product i.e 266888

Least Common Multiple of 457,584 with GCF Formula

Least Common Multiple of 457,584 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 457,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,584) = 1

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

GCF(457,584) x common factors =1 x 1 = 1

LCM(457,584) = ( 457 × 584 ) / 1

LCM(457,584) = 266888 / 1

LCM(457,584) = 266888


Lets's calculate GCF of 72,8935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266888/1

Therefore the LCM of Fractions 457/72,584/8935 is 266888

Greatest Common Factor of 72,8935 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,8935 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1,5,1787,8935

Greatest Common Factor

We found the factors 72,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 72,8935 is 1.


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 457/72, 584/8935

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 457/72, 584/8935?

Answer: LCM of Numerators as per given numbers 457/72, 584/8935 is

LCM of Numerators i.e. for 457,584 is 266888

GCF of denominators i.e. for 72,8935 is 1.

Thus, LCM of Fractions is 266888.Finally, LCM of Fractions for 457/72, 584/8935 is 266888.