Least Common Multiple of 40/334, 246/526, 305/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/334, 246/526, 305/990 quickly i.e. 150060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/334, 246/526, 305/990 is 150060.

LCM(40/334, 246/526, 305/990) = 150060

LCM of 40/334, 246/526, 305/990

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 40/334,246/526,305/990

Given numbers are 40/334,246/526,305/990

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 40,246,305

Least Common Multiple of Numerators i.e. LCM of 40,246,305 is 300120.

GCF of Denominators means GCF of 334,526,990 as per the given fractions.

GCF of 334,526,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,246,305

LCM of Fractions 40/334,246/526,305/990 is 150060

2 40, 246, 305
5 20, 123, 305
4, 123, 61

∴ So the LCM of the given numbers is 2 x 5 x 4 x 123 x 61 = 300120

Least Common Multiple of 40,246,305 with GCF Formula

Least Common Multiple of 40,246,305 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 40,246,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,246,305) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,246,305) x common factors =1 x 10 = 10

LCM(40,246,305) = ( 40 × 246 × 305 ) / 10

LCM(40,246,305) = 3001200 / 10

LCM(40,246,305) = 300120


Lets's calculate GCF of 334,526,990

2 334, 526, 990
167, 263, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300120/2

Therefore the LCM of Fractions 40/334,246/526,305/990 is 150060

Greatest Common Factor of 334,526,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,526,990 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 334,526,990 . The biggest common factor number is the GCF number.
So the greatest common factor 334,526,990 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 40/334, 246/526, 305/990

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 40/334, 246/526, 305/990?

Answer: LCM of Numerators as per given numbers 40/334, 246/526, 305/990 is

LCM of Numerators i.e. for 40,246,305 is 300120

GCF of denominators i.e. for 334,526,990 is 2.

Thus, LCM of Fractions is 150060.Finally, LCM of Fractions for 40/334, 246/526, 305/990 is 150060.