Least Common Multiple of 134/819, 1991/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 134/819, 1991/429 quickly i.e. 266794/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/819, 1991/429 is 266794/39.

LCM(134/819, 1991/429) = 266794/39

LCM of 134/819, 1991/429

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 134/819,1991/429

Given numbers are 134/819,1991/429

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 134,1991

Least Common Multiple of Numerators i.e. LCM of 134,1991 is 266794.

GCF of Denominators means GCF of 819,429 as per the given fractions.

GCF of 819,429 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,1991

LCM of Fractions 134/819,1991/429 is 266794/39

Given numbers has no common factors except 1. So, there LCM is their product i.e 266794

Least Common Multiple of 134,1991 with GCF Formula

Least Common Multiple of 134,1991 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 134,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,1991) = 1

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

GCF(134,1991) x common factors =1 x 1 = 1

LCM(134,1991) = ( 134 × 1991 ) / 1

LCM(134,1991) = 266794 / 1

LCM(134,1991) = 266794


Lets's calculate GCF of 819,429

3 819, 429
13 273, 143
21, 11

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266794/39

Therefore the LCM of Fractions 134/819,1991/429 is 266794/39

Greatest Common Factor of 819,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,429 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 819,429 . The biggest common factor number is the GCF number.
So the greatest common factor 819,429 is 39.


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 134/819, 1991/429

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 134/819, 1991/429?

Answer: LCM of Numerators as per given numbers 134/819, 1991/429 is

LCM of Numerators i.e. for 134,1991 is 266794

GCF of denominators i.e. for 819,429 is 39.

Thus, LCM of Fractions is 266794/39.Finally, LCM of Fractions for 134/819, 1991/429 is 266794/39.