Least Common Multiple of 434/21, 187/25, 346/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/21, 187/25, 346/848 quickly i.e. 14040334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/21, 187/25, 346/848 is 14040334.

LCM(434/21, 187/25, 346/848) = 14040334

LCM of 434/21, 187/25, 346/848

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 434/21,187/25,346/848

Given numbers are 434/21,187/25,346/848

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 434,187,346

Least Common Multiple of Numerators i.e. LCM of 434,187,346 is 14040334.

GCF of Denominators means GCF of 21,25,848 as per the given fractions.

GCF of 21,25,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,187,346

LCM of Fractions 434/21,187/25,346/848 is 14040334

2 434, 187, 346
217, 187, 173

∴ So the LCM of the given numbers is 2 x 217 x 187 x 173 = 14040334

Least Common Multiple of 434,187,346 with GCF Formula

Least Common Multiple of 434,187,346 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 434,187,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,187,346) = 1

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

GCF(434,187,346) x common factors =1 x 2 = 2

LCM(434,187,346) = ( 434 × 187 × 346 ) / 2

LCM(434,187,346) = 28080668 / 2

LCM(434,187,346) = 14040334


Lets's calculate GCF of 21,25,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14040334/1

Therefore the LCM of Fractions 434/21,187/25,346/848 is 14040334

Greatest Common Factor of 21,25,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,25,848 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 21,25,848 . The biggest common factor number is the GCF number.
So the greatest common factor 21,25,848 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 434/21, 187/25, 346/848

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 434/21, 187/25, 346/848?

Answer: LCM of Numerators as per given numbers 434/21, 187/25, 346/848 is

LCM of Numerators i.e. for 434,187,346 is 14040334

GCF of denominators i.e. for 21,25,848 is 1.

Thus, LCM of Fractions is 14040334.Finally, LCM of Fractions for 434/21, 187/25, 346/848 is 14040334.