Least Common Multiple of 34/59, 572/58, 924/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/59, 572/58, 924/193 quickly i.e. 204204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/59, 572/58, 924/193 is 204204.

LCM(34/59, 572/58, 924/193) = 204204

LCM of 34/59, 572/58, 924/193

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 34/59,572/58,924/193

Given numbers are 34/59,572/58,924/193

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 34,572,924

Least Common Multiple of Numerators i.e. LCM of 34,572,924 is 204204.

GCF of Denominators means GCF of 59,58,193 as per the given fractions.

GCF of 59,58,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,572,924

LCM of Fractions 34/59,572/58,924/193 is 204204

2 34, 572, 924
2 17, 286, 462
11 17, 143, 231
17, 13, 21

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 13 x 21 = 204204

Least Common Multiple of 34,572,924 with GCF Formula

Least Common Multiple of 34,572,924 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 34,572,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,572,924) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(34,572,924) x common factors =2 x 44 = 88

LCM(34,572,924) = ( 34 × 572 × 924 ) / 88

LCM(34,572,924) = 17969952 / 88

LCM(34,572,924) = 204204


Lets's calculate GCF of 59,58,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204204/1

Therefore the LCM of Fractions 34/59,572/58,924/193 is 204204

Greatest Common Factor of 59,58,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,58,193 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

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 59,58,193 . The biggest common factor number is the GCF number.
So the greatest common factor 59,58,193 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 34/59, 572/58, 924/193

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 34/59, 572/58, 924/193?

Answer: LCM of Numerators as per given numbers 34/59, 572/58, 924/193 is

LCM of Numerators i.e. for 34,572,924 is 204204

GCF of denominators i.e. for 59,58,193 is 1.

Thus, LCM of Fractions is 204204.Finally, LCM of Fractions for 34/59, 572/58, 924/193 is 204204.