Least Common Multiple of 29/389, 66/404, 690/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/389, 66/404, 690/844 quickly i.e. 220110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/389, 66/404, 690/844 is 220110.

LCM(29/389, 66/404, 690/844) = 220110

LCM of 29/389, 66/404, 690/844

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 29/389,66/404,690/844

Given numbers are 29/389,66/404,690/844

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 29,66,690

Least Common Multiple of Numerators i.e. LCM of 29,66,690 is 220110.

GCF of Denominators means GCF of 389,404,844 as per the given fractions.

GCF of 389,404,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,66,690

LCM of Fractions 29/389,66/404,690/844 is 220110

2 29, 66, 690
3 29, 33, 345
29, 11, 115

∴ So the LCM of the given numbers is 2 x 3 x 29 x 11 x 115 = 220110

Least Common Multiple of 29,66,690 with GCF Formula

Least Common Multiple of 29,66,690 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 29,66,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,66,690) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(29,66,690) x common factors =1 x 6 = 6

LCM(29,66,690) = ( 29 × 66 × 690 ) / 6

LCM(29,66,690) = 1320660 / 6

LCM(29,66,690) = 220110


Lets's calculate GCF of 389,404,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220110/1

Therefore the LCM of Fractions 29/389,66/404,690/844 is 220110

Greatest Common Factor of 389,404,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,404,844 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 389,404,844 . The biggest common factor number is the GCF number.
So the greatest common factor 389,404,844 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 29/389, 66/404, 690/844

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 29/389, 66/404, 690/844?

Answer: LCM of Numerators as per given numbers 29/389, 66/404, 690/844 is

LCM of Numerators i.e. for 29,66,690 is 220110

GCF of denominators i.e. for 389,404,844 is 1.

Thus, LCM of Fractions is 220110.Finally, LCM of Fractions for 29/389, 66/404, 690/844 is 220110.