Least Common Multiple of 74/818, 53/648, 494/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/818, 53/648, 494/260 quickly i.e. 484367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/818, 53/648, 494/260 is 484367.

LCM(74/818, 53/648, 494/260) = 484367

LCM of 74/818, 53/648, 494/260

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 74/818,53/648,494/260

Given numbers are 74/818,53/648,494/260

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 74,53,494

Least Common Multiple of Numerators i.e. LCM of 74,53,494 is 968734.

GCF of Denominators means GCF of 818,648,260 as per the given fractions.

GCF of 818,648,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,53,494

LCM of Fractions 74/818,53/648,494/260 is 484367

2 74, 53, 494
37, 53, 247

∴ So the LCM of the given numbers is 2 x 37 x 53 x 247 = 968734

Least Common Multiple of 74,53,494 with GCF Formula

Least Common Multiple of 74,53,494 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 74,53,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,53,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,53,494) x common factors =1 x 2 = 2

LCM(74,53,494) = ( 74 × 53 × 494 ) / 2

LCM(74,53,494) = 1937468 / 2

LCM(74,53,494) = 968734


Lets's calculate GCF of 818,648,260

2 818, 648, 260
409, 324, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 968734/2

Therefore the LCM of Fractions 74/818,53/648,494/260 is 484367

Greatest Common Factor of 818,648,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,648,260 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 818,648,260 . The biggest common factor number is the GCF number.
So the greatest common factor 818,648,260 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 74/818, 53/648, 494/260

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 74/818, 53/648, 494/260?

Answer: LCM of Numerators as per given numbers 74/818, 53/648, 494/260 is

LCM of Numerators i.e. for 74,53,494 is 968734

GCF of denominators i.e. for 818,648,260 is 2.

Thus, LCM of Fractions is 484367.Finally, LCM of Fractions for 74/818, 53/648, 494/260 is 484367.