Least Common Multiple of 469/597, 4578/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/597, 4578/584 quickly i.e. 306726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/597, 4578/584 is 306726.

LCM(469/597, 4578/584) = 306726

LCM of 469/597, 4578/584

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 469/597,4578/584

Given numbers are 469/597,4578/584

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 469,4578

Least Common Multiple of Numerators i.e. LCM of 469,4578 is 306726.

GCF of Denominators means GCF of 597,584 as per the given fractions.

GCF of 597,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,4578

LCM of Fractions 469/597,4578/584 is 306726

7 469, 4578
67, 654

∴ So the LCM of the given numbers is 7 x 67 x 654 = 306726

Least Common Multiple of 469,4578 with GCF Formula

Least Common Multiple of 469,4578 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 469,4578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,4578) = 7

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

GCF(469,4578) x common factors =7 x 1 = 7

LCM(469,4578) = ( 469 × 4578 ) / 7

LCM(469,4578) = 2147082 / 7

LCM(469,4578) = 306726


Lets's calculate GCF of 597,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306726/1

Therefore the LCM of Fractions 469/597,4578/584 is 306726

Greatest Common Factor of 597,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,584 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 597,584 . The biggest common factor number is the GCF number.
So the greatest common factor 597,584 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 469/597, 4578/584

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 469/597, 4578/584?

Answer: LCM of Numerators as per given numbers 469/597, 4578/584 is

LCM of Numerators i.e. for 469,4578 is 306726

GCF of denominators i.e. for 597,584 is 1.

Thus, LCM of Fractions is 306726.Finally, LCM of Fractions for 469/597, 4578/584 is 306726.