Least Common Multiple of 469/52, 476/4597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/52, 476/4597 quickly i.e. 31892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/52, 476/4597 is 31892.

LCM(469/52, 476/4597) = 31892

LCM of 469/52, 476/4597

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 469/52,476/4597

Given numbers are 469/52,476/4597

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 469,476

Least Common Multiple of Numerators i.e. LCM of 469,476 is 31892.

GCF of Denominators means GCF of 52,4597 as per the given fractions.

GCF of 52,4597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,476

LCM of Fractions 469/52,476/4597 is 31892

7 469, 476
67, 68

∴ So the LCM of the given numbers is 7 x 67 x 68 = 31892

Least Common Multiple of 469,476 with GCF Formula

Least Common Multiple of 469,476 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 469,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,476) = 7

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

GCF(469,476) x common factors =7 x 1 = 7

LCM(469,476) = ( 469 × 476 ) / 7

LCM(469,476) = 223244 / 7

LCM(469,476) = 31892


Lets's calculate GCF of 52,4597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31892/1

Therefore the LCM of Fractions 469/52,476/4597 is 31892

Greatest Common Factor of 52,4597 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,4597 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 4597

List of positive integer factors of 4597 that divides 4597 without a remainder.

1,4597

Greatest Common Factor

We found the factors 52,4597 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4597 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 469/52, 476/4597

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 469/52, 476/4597?

Answer: LCM of Numerators as per given numbers 469/52, 476/4597 is

LCM of Numerators i.e. for 469,476 is 31892

GCF of denominators i.e. for 52,4597 is 1.

Thus, LCM of Fractions is 31892.Finally, LCM of Fractions for 469/52, 476/4597 is 31892.