Least Common Multiple of 431/498, 269/363, 985/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/498, 269/363, 985/256 quickly i.e. 114199915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/498, 269/363, 985/256 is 114199915.

LCM(431/498, 269/363, 985/256) = 114199915

LCM of 431/498, 269/363, 985/256

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 431/498,269/363,985/256

Given numbers are 431/498,269/363,985/256

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 431,269,985

Least Common Multiple of Numerators i.e. LCM of 431,269,985 is 114199915.

GCF of Denominators means GCF of 498,363,256 as per the given fractions.

GCF of 498,363,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,269,985

LCM of Fractions 431/498,269/363,985/256 is 114199915

Given numbers has no common factors except 1. So, there LCM is their product i.e 114199915

Least Common Multiple of 431,269,985 with GCF Formula

Least Common Multiple of 431,269,985 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 431,269,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,269,985) = 1

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

GCF(431,269,985) x common factors =1 x 1 = 1

LCM(431,269,985) = ( 431 × 269 × 985 ) / 1

LCM(431,269,985) = 114199915 / 1

LCM(431,269,985) = 114199915


Lets's calculate GCF of 498,363,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114199915/1

Therefore the LCM of Fractions 431/498,269/363,985/256 is 114199915

Greatest Common Factor of 498,363,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,363,256 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 498,363,256 . The biggest common factor number is the GCF number.
So the greatest common factor 498,363,256 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 431/498, 269/363, 985/256

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 431/498, 269/363, 985/256?

Answer: LCM of Numerators as per given numbers 431/498, 269/363, 985/256 is

LCM of Numerators i.e. for 431,269,985 is 114199915

GCF of denominators i.e. for 498,363,256 is 1.

Thus, LCM of Fractions is 114199915.Finally, LCM of Fractions for 431/498, 269/363, 985/256 is 114199915.