Least Common Multiple of 59/879, 61/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/879, 61/221 quickly i.e. 3599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/879, 61/221 is 3599.

LCM(59/879, 61/221) = 3599

LCM of 59/879, 61/221

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 59/879,61/221

Given numbers are 59/879,61/221

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 59,61

Least Common Multiple of Numerators i.e. LCM of 59,61 is 3599.

GCF of Denominators means GCF of 879,221 as per the given fractions.

GCF of 879,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,61

LCM of Fractions 59/879,61/221 is 3599

Given numbers has no common factors except 1. So, there LCM is their product i.e 3599

Least Common Multiple of 59,61 with GCF Formula

Least Common Multiple of 59,61 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 59,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,61) = 1

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

GCF(59,61) x common factors =1 x 1 = 1

LCM(59,61) = ( 59 × 61 ) / 1

LCM(59,61) = 3599 / 1

LCM(59,61) = 3599


Lets's calculate GCF of 879,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3599/1

Therefore the LCM of Fractions 59/879,61/221 is 3599

Greatest Common Factor of 879,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,221 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 879,221 . The biggest common factor number is the GCF number.
So the greatest common factor 879,221 is 1.


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 59/879, 61/221

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 59/879, 61/221?

Answer: LCM of Numerators as per given numbers 59/879, 61/221 is

LCM of Numerators i.e. for 59,61 is 3599

GCF of denominators i.e. for 879,221 is 1.

Thus, LCM of Fractions is 3599.Finally, LCM of Fractions for 59/879, 61/221 is 3599.