Least Common Multiple of 59/530, 71/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/530, 71/901 quickly i.e. 4189/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/530, 71/901 is 4189/53.

LCM(59/530, 71/901) = 4189/53

LCM of 59/530, 71/901

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 59/530,71/901

Given numbers are 59/530,71/901

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 59,71

Least Common Multiple of Numerators i.e. LCM of 59,71 is 4189.

GCF of Denominators means GCF of 530,901 as per the given fractions.

GCF of 530,901 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,71

LCM of Fractions 59/530,71/901 is 4189/53

Given numbers has no common factors except 1. So, there LCM is their product i.e 4189

Least Common Multiple of 59,71 with GCF Formula

Least Common Multiple of 59,71 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 59,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,71) = 1

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

GCF(59,71) x common factors =1 x 1 = 1

LCM(59,71) = ( 59 × 71 ) / 1

LCM(59,71) = 4189 / 1

LCM(59,71) = 4189


Lets's calculate GCF of 530,901

53 530, 901
10, 17

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4189/53

Therefore the LCM of Fractions 59/530,71/901 is 4189/53

Greatest Common Factor of 530,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,901 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 530,901 . The biggest common factor number is the GCF number.
So the greatest common factor 530,901 is 53.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/530, 71/901

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 59/530, 71/901?

Answer: LCM of Numerators as per given numbers 59/530, 71/901 is

LCM of Numerators i.e. for 59,71 is 4189

GCF of denominators i.e. for 530,901 is 53.

Thus, LCM of Fractions is 4189/53.Finally, LCM of Fractions for 59/530, 71/901 is 4189/53.