Least Common Multiple of 59/192, 70/286, 103/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/192, 70/286, 103/580 quickly i.e. 212695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/192, 70/286, 103/580 is 212695.

LCM(59/192, 70/286, 103/580) = 212695

LCM of 59/192, 70/286, 103/580

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 59/192,70/286,103/580

Given numbers are 59/192,70/286,103/580

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 59,70,103

Least Common Multiple of Numerators i.e. LCM of 59,70,103 is 425390.

GCF of Denominators means GCF of 192,286,580 as per the given fractions.

GCF of 192,286,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,70,103

LCM of Fractions 59/192,70/286,103/580 is 212695

Given numbers has no common factors except 1. So, there LCM is their product i.e 425390

Least Common Multiple of 59,70,103 with GCF Formula

Least Common Multiple of 59,70,103 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 59,70,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,70,103) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,70,103) x common factors =1 x 1 = 1

LCM(59,70,103) = ( 59 × 70 × 103 ) / 1

LCM(59,70,103) = 425390 / 1

LCM(59,70,103) = 425390


Lets's calculate GCF of 192,286,580

2 192, 286, 580
96, 143, 290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425390/2

Therefore the LCM of Fractions 59/192,70/286,103/580 is 212695

Greatest Common Factor of 192,286,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,286,580 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 192,286,580 . The biggest common factor number is the GCF number.
So the greatest common factor 192,286,580 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 59/192, 70/286, 103/580

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 59/192, 70/286, 103/580?

Answer: LCM of Numerators as per given numbers 59/192, 70/286, 103/580 is

LCM of Numerators i.e. for 59,70,103 is 425390

GCF of denominators i.e. for 192,286,580 is 2.

Thus, LCM of Fractions is 212695.Finally, LCM of Fractions for 59/192, 70/286, 103/580 is 212695.