Least Common Multiple of 59/352, 33/198, 708/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/352, 33/198, 708/430 quickly i.e. 3894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/352, 33/198, 708/430 is 3894.

LCM(59/352, 33/198, 708/430) = 3894

LCM of 59/352, 33/198, 708/430

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 59/352,33/198,708/430

Given numbers are 59/352,33/198,708/430

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 59,33,708

Least Common Multiple of Numerators i.e. LCM of 59,33,708 is 7788.

GCF of Denominators means GCF of 352,198,430 as per the given fractions.

GCF of 352,198,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,33,708

LCM of Fractions 59/352,33/198,708/430 is 3894

3 59, 33, 708
59 59, 11, 236
1, 11, 4

∴ So the LCM of the given numbers is 3 x 59 x 1 x 11 x 4 = 7788

Least Common Multiple of 59,33,708 with GCF Formula

Least Common Multiple of 59,33,708 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 59,33,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,33,708) = 1

common factors(in case of two or more numbers have common factors) = 177

GCF(59,33,708) x common factors =1 x 177 = 177

LCM(59,33,708) = ( 59 × 33 × 708 ) / 177

LCM(59,33,708) = 1378476 / 177

LCM(59,33,708) = 7788


Lets's calculate GCF of 352,198,430

2 352, 198, 430
176, 99, 215

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7788/2

Therefore the LCM of Fractions 59/352,33/198,708/430 is 3894

Greatest Common Factor of 352,198,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,198,430 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 352,198,430 . The biggest common factor number is the GCF number.
So the greatest common factor 352,198,430 is 2.


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 59/352, 33/198, 708/430

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 59/352, 33/198, 708/430?

Answer: LCM of Numerators as per given numbers 59/352, 33/198, 708/430 is

LCM of Numerators i.e. for 59,33,708 is 7788

GCF of denominators i.e. for 352,198,430 is 2.

Thus, LCM of Fractions is 3894.Finally, LCM of Fractions for 59/352, 33/198, 708/430 is 3894.