Least Common Multiple of 469/478, 873/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/478, 873/257 quickly i.e. 409437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/478, 873/257 is 409437.

LCM(469/478, 873/257) = 409437

LCM of 469/478, 873/257

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 469/478,873/257

Given numbers are 469/478,873/257

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 469,873

Least Common Multiple of Numerators i.e. LCM of 469,873 is 409437.

GCF of Denominators means GCF of 478,257 as per the given fractions.

GCF of 478,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,873

LCM of Fractions 469/478,873/257 is 409437

Given numbers has no common factors except 1. So, there LCM is their product i.e 409437

Least Common Multiple of 469,873 with GCF Formula

Least Common Multiple of 469,873 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 469,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,873) = 1

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

GCF(469,873) x common factors =1 x 1 = 1

LCM(469,873) = ( 469 × 873 ) / 1

LCM(469,873) = 409437 / 1

LCM(469,873) = 409437


Lets's calculate GCF of 478,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409437/1

Therefore the LCM of Fractions 469/478,873/257 is 409437

Greatest Common Factor of 478,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,257 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 478,257 . The biggest common factor number is the GCF number.
So the greatest common factor 478,257 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 469/478, 873/257

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 469/478, 873/257?

Answer: LCM of Numerators as per given numbers 469/478, 873/257 is

LCM of Numerators i.e. for 469,873 is 409437

GCF of denominators i.e. for 478,257 is 1.

Thus, LCM of Fractions is 409437.Finally, LCM of Fractions for 469/478, 873/257 is 409437.