Least Common Multiple of 368/93, 747/26, 290/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 368/93, 747/26, 290/394 quickly i.e. 39859920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/93, 747/26, 290/394 is 39859920.

LCM(368/93, 747/26, 290/394) = 39859920

LCM of 368/93, 747/26, 290/394

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 368/93,747/26,290/394

Given numbers are 368/93,747/26,290/394

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 368,747,290

Least Common Multiple of Numerators i.e. LCM of 368,747,290 is 39859920.

GCF of Denominators means GCF of 93,26,394 as per the given fractions.

GCF of 93,26,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,747,290

LCM of Fractions 368/93,747/26,290/394 is 39859920

2 368, 747, 290
184, 747, 145

∴ So the LCM of the given numbers is 2 x 184 x 747 x 145 = 39859920

Least Common Multiple of 368,747,290 with GCF Formula

Least Common Multiple of 368,747,290 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 368,747,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,747,290) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(368,747,290) x common factors =1 x 2 = 2

LCM(368,747,290) = ( 368 × 747 × 290 ) / 2

LCM(368,747,290) = 79719840 / 2

LCM(368,747,290) = 39859920


Lets's calculate GCF of 93,26,394

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39859920/1

Therefore the LCM of Fractions 368/93,747/26,290/394 is 39859920

Greatest Common Factor of 93,26,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,26,394 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 93,26,394 . The biggest common factor number is the GCF number.
So the greatest common factor 93,26,394 is 1.


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Frequently Asked Questions on Fractional LCM of 368/93, 747/26, 290/394

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 368/93, 747/26, 290/394?

Answer: LCM of Numerators as per given numbers 368/93, 747/26, 290/394 is

LCM of Numerators i.e. for 368,747,290 is 39859920

GCF of denominators i.e. for 93,26,394 is 1.

Thus, LCM of Fractions is 39859920.Finally, LCM of Fractions for 368/93, 747/26, 290/394 is 39859920.