Least Common Multiple of 396/246, 492/288, 260/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/246, 492/288, 260/946 quickly i.e. 527670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/246, 492/288, 260/946 is 527670.

LCM(396/246, 492/288, 260/946) = 527670

LCM of 396/246, 492/288, 260/946

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 396/246,492/288,260/946

Given numbers are 396/246,492/288,260/946

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 396,492,260

Least Common Multiple of Numerators i.e. LCM of 396,492,260 is 1055340.

GCF of Denominators means GCF of 246,288,946 as per the given fractions.

GCF of 246,288,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,492,260

LCM of Fractions 396/246,492/288,260/946 is 527670

2 396, 492, 260
2 198, 246, 130
3 99, 123, 65
33, 41, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 41 x 65 = 1055340

Least Common Multiple of 396,492,260 with GCF Formula

Least Common Multiple of 396,492,260 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 396,492,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,492,260) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(396,492,260) x common factors =4 x 12 = 48

LCM(396,492,260) = ( 396 × 492 × 260 ) / 48

LCM(396,492,260) = 50656320 / 48

LCM(396,492,260) = 1055340


Lets's calculate GCF of 246,288,946

2 246, 288, 946
123, 144, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055340/2

Therefore the LCM of Fractions 396/246,492/288,260/946 is 527670

Greatest Common Factor of 246,288,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,288,946 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 246,288,946 . The biggest common factor number is the GCF number.
So the greatest common factor 246,288,946 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 396/246, 492/288, 260/946

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 396/246, 492/288, 260/946?

Answer: LCM of Numerators as per given numbers 396/246, 492/288, 260/946 is

LCM of Numerators i.e. for 396,492,260 is 1055340

GCF of denominators i.e. for 246,288,946 is 2.

Thus, LCM of Fractions is 527670.Finally, LCM of Fractions for 396/246, 492/288, 260/946 is 527670.