Least Common Multiple of 319/357, 298/229, 406/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/357, 298/229, 406/402 quickly i.e. 665434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/357, 298/229, 406/402 is 665434.

LCM(319/357, 298/229, 406/402) = 665434

LCM of 319/357, 298/229, 406/402

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 319/357,298/229,406/402

Given numbers are 319/357,298/229,406/402

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 319,298,406

Least Common Multiple of Numerators i.e. LCM of 319,298,406 is 665434.

GCF of Denominators means GCF of 357,229,402 as per the given fractions.

GCF of 357,229,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,298,406

LCM of Fractions 319/357,298/229,406/402 is 665434

2 319, 298, 406
29 319, 149, 203
11, 149, 7

∴ So the LCM of the given numbers is 2 x 29 x 11 x 149 x 7 = 665434

Least Common Multiple of 319,298,406 with GCF Formula

Least Common Multiple of 319,298,406 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 319,298,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,298,406) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(319,298,406) x common factors =1 x 58 = 58

LCM(319,298,406) = ( 319 × 298 × 406 ) / 58

LCM(319,298,406) = 38595172 / 58

LCM(319,298,406) = 665434


Lets's calculate GCF of 357,229,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 665434/1

Therefore the LCM of Fractions 319/357,298/229,406/402 is 665434

Greatest Common Factor of 357,229,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,229,402 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 357,229,402 . The biggest common factor number is the GCF number.
So the greatest common factor 357,229,402 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 319/357, 298/229, 406/402

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 319/357, 298/229, 406/402?

Answer: LCM of Numerators as per given numbers 319/357, 298/229, 406/402 is

LCM of Numerators i.e. for 319,298,406 is 665434

GCF of denominators i.e. for 357,229,402 is 1.

Thus, LCM of Fractions is 665434.Finally, LCM of Fractions for 319/357, 298/229, 406/402 is 665434.