Least Common Multiple of 47/346, 41/588, 129/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/346, 41/588, 129/562 quickly i.e. 248583/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/346, 41/588, 129/562 is 248583/2.

LCM(47/346, 41/588, 129/562) = 248583/2

LCM of 47/346, 41/588, 129/562

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 47/346,41/588,129/562

Given numbers are 47/346,41/588,129/562

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 47,41,129

Least Common Multiple of Numerators i.e. LCM of 47,41,129 is 248583.

GCF of Denominators means GCF of 346,588,562 as per the given fractions.

GCF of 346,588,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,41,129

LCM of Fractions 47/346,41/588,129/562 is 248583/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 248583

Least Common Multiple of 47,41,129 with GCF Formula

Least Common Multiple of 47,41,129 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 47,41,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,41,129) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,41,129) x common factors =1 x 1 = 1

LCM(47,41,129) = ( 47 × 41 × 129 ) / 1

LCM(47,41,129) = 248583 / 1

LCM(47,41,129) = 248583


Lets's calculate GCF of 346,588,562

2 346, 588, 562
173, 294, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248583/2

Therefore the LCM of Fractions 47/346,41/588,129/562 is 248583/2

Greatest Common Factor of 346,588,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,588,562 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 346,588,562 . The biggest common factor number is the GCF number.
So the greatest common factor 346,588,562 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 47/346, 41/588, 129/562

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 47/346, 41/588, 129/562?

Answer: LCM of Numerators as per given numbers 47/346, 41/588, 129/562 is

LCM of Numerators i.e. for 47,41,129 is 248583

GCF of denominators i.e. for 346,588,562 is 2.

Thus, LCM of Fractions is 248583/2.Finally, LCM of Fractions for 47/346, 41/588, 129/562 is 248583/2.