Least Common Multiple of 94/338, 80/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/338, 80/390 quickly i.e. 3760/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/338, 80/390 is 3760/26.

LCM(94/338, 80/390) = 3760/26

LCM of 94/338, 80/390

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 94/338,80/390

Given numbers are 94/338,80/390

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 94,80

Least Common Multiple of Numerators i.e. LCM of 94,80 is 3760.

GCF of Denominators means GCF of 338,390 as per the given fractions.

GCF of 338,390 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,80

LCM of Fractions 94/338,80/390 is 3760/26

2 94, 80
47, 40

∴ So the LCM of the given numbers is 2 x 47 x 40 = 3760

Least Common Multiple of 94,80 with GCF Formula

Least Common Multiple of 94,80 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 94,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,80) = 2

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

GCF(94,80) x common factors =2 x 1 = 2

LCM(94,80) = ( 94 × 80 ) / 2

LCM(94,80) = 7520 / 2

LCM(94,80) = 3760


Lets's calculate GCF of 338,390

2 338, 390
13 169, 195
13, 15

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3760/26

Therefore the LCM of Fractions 94/338,80/390 is 3760/26

Greatest Common Factor of 338,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,390 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 338,390 . The biggest common factor number is the GCF number.
So the greatest common factor 338,390 is 26.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/338, 80/390

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 94/338, 80/390?

Answer: LCM of Numerators as per given numbers 94/338, 80/390 is

LCM of Numerators i.e. for 94,80 is 3760

GCF of denominators i.e. for 338,390 is 26.

Thus, LCM of Fractions is 3760/26.Finally, LCM of Fractions for 94/338, 80/390 is 3760/26.