Least Common Multiple of 494/484, 6898/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/484, 6898/262 quickly i.e. 851903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/484, 6898/262 is 851903.

LCM(494/484, 6898/262) = 851903

LCM of 494/484, 6898/262

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 494/484,6898/262

Given numbers are 494/484,6898/262

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 494,6898

Least Common Multiple of Numerators i.e. LCM of 494,6898 is 1703806.

GCF of Denominators means GCF of 484,262 as per the given fractions.

GCF of 484,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,6898

LCM of Fractions 494/484,6898/262 is 851903

2 494, 6898
247, 3449

∴ So the LCM of the given numbers is 2 x 247 x 3449 = 1703806

Least Common Multiple of 494,6898 with GCF Formula

Least Common Multiple of 494,6898 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 494,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,6898) = 2

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

GCF(494,6898) x common factors =2 x 1 = 2

LCM(494,6898) = ( 494 × 6898 ) / 2

LCM(494,6898) = 3407612 / 2

LCM(494,6898) = 1703806


Lets's calculate GCF of 484,262

2 484, 262
242, 131

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1703806/2

Therefore the LCM of Fractions 494/484,6898/262 is 851903

Greatest Common Factor of 484,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,262 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 484,262 . The biggest common factor number is the GCF number.
So the greatest common factor 484,262 is 2.


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 494/484, 6898/262

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 494/484, 6898/262?

Answer: LCM of Numerators as per given numbers 494/484, 6898/262 is

LCM of Numerators i.e. for 494,6898 is 1703806

GCF of denominators i.e. for 484,262 is 2.

Thus, LCM of Fractions is 851903.Finally, LCM of Fractions for 494/484, 6898/262 is 851903.