Least Common Multiple of 59/80, 611/11, 861/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/80, 611/11, 861/984 quickly i.e. 31038189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/80, 611/11, 861/984 is 31038189.

LCM(59/80, 611/11, 861/984) = 31038189

LCM of 59/80, 611/11, 861/984

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 59/80,611/11,861/984

Given numbers are 59/80,611/11,861/984

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 59,611,861

Least Common Multiple of Numerators i.e. LCM of 59,611,861 is 31038189.

GCF of Denominators means GCF of 80,11,984 as per the given fractions.

GCF of 80,11,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,611,861

LCM of Fractions 59/80,611/11,861/984 is 31038189

Given numbers has no common factors except 1. So, there LCM is their product i.e 31038189

Least Common Multiple of 59,611,861 with GCF Formula

Least Common Multiple of 59,611,861 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 59,611,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,611,861) = 1

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

GCF(59,611,861) x common factors =1 x 1 = 1

LCM(59,611,861) = ( 59 × 611 × 861 ) / 1

LCM(59,611,861) = 31038189 / 1

LCM(59,611,861) = 31038189


Lets's calculate GCF of 80,11,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31038189/1

Therefore the LCM of Fractions 59/80,611/11,861/984 is 31038189

Greatest Common Factor of 80,11,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,11,984 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 80,11,984 . The biggest common factor number is the GCF number.
So the greatest common factor 80,11,984 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 59/80, 611/11, 861/984

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 59/80, 611/11, 861/984?

Answer: LCM of Numerators as per given numbers 59/80, 611/11, 861/984 is

LCM of Numerators i.e. for 59,611,861 is 31038189

GCF of denominators i.e. for 80,11,984 is 1.

Thus, LCM of Fractions is 31038189.Finally, LCM of Fractions for 59/80, 611/11, 861/984 is 31038189.