Least Common Multiple of 316/380, 8679/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 316/380, 8679/446 quickly i.e. 1371282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/380, 8679/446 is 1371282.

LCM(316/380, 8679/446) = 1371282

LCM of 316/380, 8679/446

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 316/380,8679/446

Given numbers are 316/380,8679/446

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 316,8679

Least Common Multiple of Numerators i.e. LCM of 316,8679 is 2742564.

GCF of Denominators means GCF of 380,446 as per the given fractions.

GCF of 380,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,8679

LCM of Fractions 316/380,8679/446 is 1371282

Given numbers has no common factors except 1. So, there LCM is their product i.e 2742564

Least Common Multiple of 316,8679 with GCF Formula

Least Common Multiple of 316,8679 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 316,8679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,8679) = 1

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

GCF(316,8679) x common factors =1 x 1 = 1

LCM(316,8679) = ( 316 × 8679 ) / 1

LCM(316,8679) = 2742564 / 1

LCM(316,8679) = 2742564


Lets's calculate GCF of 380,446

2 380, 446
190, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2742564/2

Therefore the LCM of Fractions 316/380,8679/446 is 1371282

Greatest Common Factor of 380,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,446 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

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 380,446 . The biggest common factor number is the GCF number.
So the greatest common factor 380,446 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 316/380, 8679/446

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 316/380, 8679/446?

Answer: LCM of Numerators as per given numbers 316/380, 8679/446 is

LCM of Numerators i.e. for 316,8679 is 2742564

GCF of denominators i.e. for 380,446 is 2.

Thus, LCM of Fractions is 1371282.Finally, LCM of Fractions for 316/380, 8679/446 is 1371282.