Least Common Multiple of 29/810, 114/646, 189/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/810, 114/646, 189/386 quickly i.e. 104139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/810, 114/646, 189/386 is 104139.

LCM(29/810, 114/646, 189/386) = 104139

LCM of 29/810, 114/646, 189/386

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 29/810,114/646,189/386

Given numbers are 29/810,114/646,189/386

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 29,114,189

Least Common Multiple of Numerators i.e. LCM of 29,114,189 is 208278.

GCF of Denominators means GCF of 810,646,386 as per the given fractions.

GCF of 810,646,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,114,189

LCM of Fractions 29/810,114/646,189/386 is 104139

3 29, 114, 189
29, 38, 63

∴ So the LCM of the given numbers is 3 x 29 x 38 x 63 = 208278

Least Common Multiple of 29,114,189 with GCF Formula

Least Common Multiple of 29,114,189 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 29,114,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,114,189) = 1

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

GCF(29,114,189) x common factors =1 x 3 = 3

LCM(29,114,189) = ( 29 × 114 × 189 ) / 3

LCM(29,114,189) = 624834 / 3

LCM(29,114,189) = 208278


Lets's calculate GCF of 810,646,386

2 810, 646, 386
405, 323, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208278/2

Therefore the LCM of Fractions 29/810,114/646,189/386 is 104139

Greatest Common Factor of 810,646,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,646,386 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 810,646,386 . The biggest common factor number is the GCF number.
So the greatest common factor 810,646,386 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 29/810, 114/646, 189/386

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 29/810, 114/646, 189/386?

Answer: LCM of Numerators as per given numbers 29/810, 114/646, 189/386 is

LCM of Numerators i.e. for 29,114,189 is 208278

GCF of denominators i.e. for 810,646,386 is 2.

Thus, LCM of Fractions is 104139.Finally, LCM of Fractions for 29/810, 114/646, 189/386 is 104139.