Least Common Multiple of 357/464, 341/205, 354/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/464, 341/205, 354/368 quickly i.e. 14364966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/464, 341/205, 354/368 is 14364966.

LCM(357/464, 341/205, 354/368) = 14364966

LCM of 357/464, 341/205, 354/368

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 357/464,341/205,354/368

Given numbers are 357/464,341/205,354/368

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 357,341,354

Least Common Multiple of Numerators i.e. LCM of 357,341,354 is 14364966.

GCF of Denominators means GCF of 464,205,368 as per the given fractions.

GCF of 464,205,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,341,354

LCM of Fractions 357/464,341/205,354/368 is 14364966

3 357, 341, 354
119, 341, 118

∴ So the LCM of the given numbers is 3 x 119 x 341 x 118 = 14364966

Least Common Multiple of 357,341,354 with GCF Formula

Least Common Multiple of 357,341,354 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 357,341,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,341,354) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(357,341,354) x common factors =1 x 3 = 3

LCM(357,341,354) = ( 357 × 341 × 354 ) / 3

LCM(357,341,354) = 43094898 / 3

LCM(357,341,354) = 14364966


Lets's calculate GCF of 464,205,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14364966/1

Therefore the LCM of Fractions 357/464,341/205,354/368 is 14364966

Greatest Common Factor of 464,205,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,205,368 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 464,205,368 . The biggest common factor number is the GCF number.
So the greatest common factor 464,205,368 is 1.


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 357/464, 341/205, 354/368

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 357/464, 341/205, 354/368?

Answer: LCM of Numerators as per given numbers 357/464, 341/205, 354/368 is

LCM of Numerators i.e. for 357,341,354 is 14364966

GCF of denominators i.e. for 464,205,368 is 1.

Thus, LCM of Fractions is 14364966.Finally, LCM of Fractions for 357/464, 341/205, 354/368 is 14364966.