Least Common Multiple of 83/30, 52/86, 78/27, 59/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/30, 52/86, 78/27, 59/827 quickly i.e. 763932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/30, 52/86, 78/27, 59/827 is 763932.

LCM(83/30, 52/86, 78/27, 59/827) = 763932

LCM of 83/30, 52/86, 78/27, 59/827

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 83/30,52/86,78/27,59/827

Given numbers are 83/30,52/86,78/27,59/827

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 83,52,78,59

Least Common Multiple of Numerators i.e. LCM of 83,52,78,59 is 763932.

GCF of Denominators means GCF of 30,86,27,827 as per the given fractions.

GCF of 30,86,27,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,52,78,59

LCM of Fractions 83/30,52/86,78/27,59/827 is 763932

2 83, 52, 78, 59
13 83, 26, 39, 59
83, 2, 3, 59

∴ So the LCM of the given numbers is 2 x 13 x 83 x 2 x 3 x 59 = 763932

Least Common Multiple of 83,52,78,59 with GCF Formula

Least Common Multiple of 83,52,78,59 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 83,52,78,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,52,78,59) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(83,52,78,59) x common factors =1 x 26 = 26

LCM(83,52,78,59) = ( 83 × 52 × 78 × 59 ) / 26

LCM(83,52,78,59) = 19862232 / 26

LCM(83,52,78,59) = 763932


Lets's calculate GCF of 30,86,27,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763932/1

Therefore the LCM of Fractions 83/30,52/86,78/27,59/827 is 763932

Greatest Common Factor of 30,86,27,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,86,27,827 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 30,86,27,827 . The biggest common factor number is the GCF number.
So the greatest common factor 30,86,27,827 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 83/30, 52/86, 78/27, 59/827

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 83/30, 52/86, 78/27, 59/827?

Answer: LCM of Numerators as per given numbers 83/30, 52/86, 78/27, 59/827 is

LCM of Numerators i.e. for 83,52,78,59 is 763932

GCF of denominators i.e. for 30,86,27,827 is 1.

Thus, LCM of Fractions is 763932.Finally, LCM of Fractions for 83/30, 52/86, 78/27, 59/827 is 763932.