Least Common Multiple of 34/122, 438/819, 644/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/122, 438/819, 644/187 quickly i.e. 2397612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/122, 438/819, 644/187 is 2397612.

LCM(34/122, 438/819, 644/187) = 2397612

LCM of 34/122, 438/819, 644/187

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 34/122,438/819,644/187

Given numbers are 34/122,438/819,644/187

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 34,438,644

Least Common Multiple of Numerators i.e. LCM of 34,438,644 is 2397612.

GCF of Denominators means GCF of 122,819,187 as per the given fractions.

GCF of 122,819,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,438,644

LCM of Fractions 34/122,438/819,644/187 is 2397612

2 34, 438, 644
17, 219, 322

∴ So the LCM of the given numbers is 2 x 17 x 219 x 322 = 2397612

Least Common Multiple of 34,438,644 with GCF Formula

Least Common Multiple of 34,438,644 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 34,438,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,438,644) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,438,644) x common factors =2 x 2 = 4

LCM(34,438,644) = ( 34 × 438 × 644 ) / 4

LCM(34,438,644) = 9590448 / 4

LCM(34,438,644) = 2397612


Lets's calculate GCF of 122,819,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2397612/1

Therefore the LCM of Fractions 34/122,438/819,644/187 is 2397612

Greatest Common Factor of 122,819,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,819,187 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

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 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 122,819,187 . The biggest common factor number is the GCF number.
So the greatest common factor 122,819,187 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 34/122, 438/819, 644/187

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 34/122, 438/819, 644/187?

Answer: LCM of Numerators as per given numbers 34/122, 438/819, 644/187 is

LCM of Numerators i.e. for 34,438,644 is 2397612

GCF of denominators i.e. for 122,819,187 is 1.

Thus, LCM of Fractions is 2397612.Finally, LCM of Fractions for 34/122, 438/819, 644/187 is 2397612.