Least Common Multiple of 682/29, 338/4607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/29, 338/4607 quickly i.e. 115258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/29, 338/4607 is 115258.

LCM(682/29, 338/4607) = 115258

LCM of 682/29, 338/4607

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 682/29,338/4607

Given numbers are 682/29,338/4607

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 682,338

Least Common Multiple of Numerators i.e. LCM of 682,338 is 115258.

GCF of Denominators means GCF of 29,4607 as per the given fractions.

GCF of 29,4607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,338

LCM of Fractions 682/29,338/4607 is 115258

2 682, 338
341, 169

∴ So the LCM of the given numbers is 2 x 341 x 169 = 115258

Least Common Multiple of 682,338 with GCF Formula

Least Common Multiple of 682,338 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 682,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,338) = 2

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

GCF(682,338) x common factors =2 x 1 = 2

LCM(682,338) = ( 682 × 338 ) / 2

LCM(682,338) = 230516 / 2

LCM(682,338) = 115258


Lets's calculate GCF of 29,4607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115258/1

Therefore the LCM of Fractions 682/29,338/4607 is 115258

Greatest Common Factor of 29,4607 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,4607 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 4607

List of positive integer factors of 4607 that divides 4607 without a remainder.

1,17,271,4607

Greatest Common Factor

We found the factors 29,4607 . The biggest common factor number is the GCF number.
So the greatest common factor 29,4607 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 682/29, 338/4607

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 682/29, 338/4607?

Answer: LCM of Numerators as per given numbers 682/29, 338/4607 is

LCM of Numerators i.e. for 682,338 is 115258

GCF of denominators i.e. for 29,4607 is 1.

Thus, LCM of Fractions is 115258.Finally, LCM of Fractions for 682/29, 338/4607 is 115258.