Least Common Multiple of 38/559, 558/434, 346/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/559, 558/434, 346/323 quickly i.e. 1834146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/559, 558/434, 346/323 is 1834146.

LCM(38/559, 558/434, 346/323) = 1834146

LCM of 38/559, 558/434, 346/323

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 38/559,558/434,346/323

Given numbers are 38/559,558/434,346/323

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 38,558,346

Least Common Multiple of Numerators i.e. LCM of 38,558,346 is 1834146.

GCF of Denominators means GCF of 559,434,323 as per the given fractions.

GCF of 559,434,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,558,346

LCM of Fractions 38/559,558/434,346/323 is 1834146

2 38, 558, 346
19, 279, 173

∴ So the LCM of the given numbers is 2 x 19 x 279 x 173 = 1834146

Least Common Multiple of 38,558,346 with GCF Formula

Least Common Multiple of 38,558,346 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 38,558,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,558,346) = 2

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

GCF(38,558,346) x common factors =2 x 2 = 4

LCM(38,558,346) = ( 38 × 558 × 346 ) / 4

LCM(38,558,346) = 7336584 / 4

LCM(38,558,346) = 1834146


Lets's calculate GCF of 559,434,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1834146/1

Therefore the LCM of Fractions 38/559,558/434,346/323 is 1834146

Greatest Common Factor of 559,434,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,434,323 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 559,434,323 . The biggest common factor number is the GCF number.
So the greatest common factor 559,434,323 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 38/559, 558/434, 346/323

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 38/559, 558/434, 346/323?

Answer: LCM of Numerators as per given numbers 38/559, 558/434, 346/323 is

LCM of Numerators i.e. for 38,558,346 is 1834146

GCF of denominators i.e. for 559,434,323 is 1.

Thus, LCM of Fractions is 1834146.Finally, LCM of Fractions for 38/559, 558/434, 346/323 is 1834146.