Least Common Multiple of 347/58, 662/96, 790/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 347/58, 662/96, 790/394 quickly i.e. 45368515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/58, 662/96, 790/394 is 45368515.

LCM(347/58, 662/96, 790/394) = 45368515

LCM of 347/58, 662/96, 790/394

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 347/58,662/96,790/394

Given numbers are 347/58,662/96,790/394

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 347,662,790

Least Common Multiple of Numerators i.e. LCM of 347,662,790 is 90737030.

GCF of Denominators means GCF of 58,96,394 as per the given fractions.

GCF of 58,96,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,662,790

LCM of Fractions 347/58,662/96,790/394 is 45368515

2 347, 662, 790
347, 331, 395

∴ So the LCM of the given numbers is 2 x 347 x 331 x 395 = 90737030

Least Common Multiple of 347,662,790 with GCF Formula

Least Common Multiple of 347,662,790 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 347,662,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,662,790) = 1

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

GCF(347,662,790) x common factors =1 x 2 = 2

LCM(347,662,790) = ( 347 × 662 × 790 ) / 2

LCM(347,662,790) = 181474060 / 2

LCM(347,662,790) = 90737030


Lets's calculate GCF of 58,96,394

2 58, 96, 394
29, 48, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90737030/2

Therefore the LCM of Fractions 347/58,662/96,790/394 is 45368515

Greatest Common Factor of 58,96,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,96,394 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 58,96,394 . The biggest common factor number is the GCF number.
So the greatest common factor 58,96,394 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 347/58, 662/96, 790/394

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 347/58, 662/96, 790/394?

Answer: LCM of Numerators as per given numbers 347/58, 662/96, 790/394 is

LCM of Numerators i.e. for 347,662,790 is 90737030

GCF of denominators i.e. for 58,96,394 is 2.

Thus, LCM of Fractions is 45368515.Finally, LCM of Fractions for 347/58, 662/96, 790/394 is 45368515.