Least Common Multiple of 41/976, 15/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/976, 15/446 quickly i.e. 615/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/976, 15/446 is 615/2.

LCM(41/976, 15/446) = 615/2

LCM of 41/976, 15/446

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 41/976,15/446

Given numbers are 41/976,15/446

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 41,15

Least Common Multiple of Numerators i.e. LCM of 41,15 is 615.

GCF of Denominators means GCF of 976,446 as per the given fractions.

GCF of 976,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,15

LCM of Fractions 41/976,15/446 is 615/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 615

Least Common Multiple of 41,15 with GCF Formula

Least Common Multiple of 41,15 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 41,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,15) = 1

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

GCF(41,15) x common factors =1 x 1 = 1

LCM(41,15) = ( 41 × 15 ) / 1

LCM(41,15) = 615 / 1

LCM(41,15) = 615


Lets's calculate GCF of 976,446

2 976, 446
488, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615/2

Therefore the LCM of Fractions 41/976,15/446 is 615/2

Greatest Common Factor of 976,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,446 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 976,446 . The biggest common factor number is the GCF number.
So the greatest common factor 976,446 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/976, 15/446

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 41/976, 15/446?

Answer: LCM of Numerators as per given numbers 41/976, 15/446 is

LCM of Numerators i.e. for 41,15 is 615

GCF of denominators i.e. for 976,446 is 2.

Thus, LCM of Fractions is 615/2.Finally, LCM of Fractions for 41/976, 15/446 is 615/2.