Least Common Multiple of 852/84, 114/86, 339/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/84, 114/86, 339/193 quickly i.e. 1829244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/84, 114/86, 339/193 is 1829244.

LCM(852/84, 114/86, 339/193) = 1829244

LCM of 852/84, 114/86, 339/193

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 852/84,114/86,339/193

Given numbers are 852/84,114/86,339/193

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 852,114,339

Least Common Multiple of Numerators i.e. LCM of 852,114,339 is 1829244.

GCF of Denominators means GCF of 84,86,193 as per the given fractions.

GCF of 84,86,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,114,339

LCM of Fractions 852/84,114/86,339/193 is 1829244

2 852, 114, 339
3 426, 57, 339
142, 19, 113

∴ So the LCM of the given numbers is 2 x 3 x 142 x 19 x 113 = 1829244

Least Common Multiple of 852,114,339 with GCF Formula

Least Common Multiple of 852,114,339 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 852,114,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,114,339) = 3

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

GCF(852,114,339) x common factors =3 x 6 = 18

LCM(852,114,339) = ( 852 × 114 × 339 ) / 18

LCM(852,114,339) = 32926392 / 18

LCM(852,114,339) = 1829244


Lets's calculate GCF of 84,86,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1829244/1

Therefore the LCM of Fractions 852/84,114/86,339/193 is 1829244

Greatest Common Factor of 84,86,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,86,193 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 84,86,193 . The biggest common factor number is the GCF number.
So the greatest common factor 84,86,193 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 852/84, 114/86, 339/193

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 852/84, 114/86, 339/193?

Answer: LCM of Numerators as per given numbers 852/84, 114/86, 339/193 is

LCM of Numerators i.e. for 852,114,339 is 1829244

GCF of denominators i.e. for 84,86,193 is 1.

Thus, LCM of Fractions is 1829244.Finally, LCM of Fractions for 852/84, 114/86, 339/193 is 1829244.