Least Common Multiple of 34/142, 594/699, 999/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/142, 594/699, 999/206 quickly i.e. 373626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/142, 594/699, 999/206 is 373626.

LCM(34/142, 594/699, 999/206) = 373626

LCM of 34/142, 594/699, 999/206

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 34/142,594/699,999/206

Given numbers are 34/142,594/699,999/206

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 34,594,999

Least Common Multiple of Numerators i.e. LCM of 34,594,999 is 373626.

GCF of Denominators means GCF of 142,699,206 as per the given fractions.

GCF of 142,699,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,594,999

LCM of Fractions 34/142,594/699,999/206 is 373626

2 34, 594, 999
3 17, 297, 999
3 17, 99, 333
3 17, 33, 111
17, 11, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 11 x 37 = 373626

Least Common Multiple of 34,594,999 with GCF Formula

Least Common Multiple of 34,594,999 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 34,594,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,594,999) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(34,594,999) x common factors =1 x 54 = 54

LCM(34,594,999) = ( 34 × 594 × 999 ) / 54

LCM(34,594,999) = 20175804 / 54

LCM(34,594,999) = 373626


Lets's calculate GCF of 142,699,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373626/1

Therefore the LCM of Fractions 34/142,594/699,999/206 is 373626

Greatest Common Factor of 142,699,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,699,206 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 142,699,206 . The biggest common factor number is the GCF number.
So the greatest common factor 142,699,206 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 34/142, 594/699, 999/206

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 34/142, 594/699, 999/206?

Answer: LCM of Numerators as per given numbers 34/142, 594/699, 999/206 is

LCM of Numerators i.e. for 34,594,999 is 373626

GCF of denominators i.e. for 142,699,206 is 1.

Thus, LCM of Fractions is 373626.Finally, LCM of Fractions for 34/142, 594/699, 999/206 is 373626.