Least Common Multiple of 59/859, 14/718, 106/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/859, 14/718, 106/766 quickly i.e. 43778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/859, 14/718, 106/766 is 43778.

LCM(59/859, 14/718, 106/766) = 43778

LCM of 59/859, 14/718, 106/766

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 59/859,14/718,106/766

Given numbers are 59/859,14/718,106/766

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 59,14,106

Least Common Multiple of Numerators i.e. LCM of 59,14,106 is 43778.

GCF of Denominators means GCF of 859,718,766 as per the given fractions.

GCF of 859,718,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,14,106

LCM of Fractions 59/859,14/718,106/766 is 43778

2 59, 14, 106
59, 7, 53

∴ So the LCM of the given numbers is 2 x 59 x 7 x 53 = 43778

Least Common Multiple of 59,14,106 with GCF Formula

Least Common Multiple of 59,14,106 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 59,14,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,14,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,14,106) x common factors =1 x 2 = 2

LCM(59,14,106) = ( 59 × 14 × 106 ) / 2

LCM(59,14,106) = 87556 / 2

LCM(59,14,106) = 43778


Lets's calculate GCF of 859,718,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43778/1

Therefore the LCM of Fractions 59/859,14/718,106/766 is 43778

Greatest Common Factor of 859,718,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,718,766 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 859,718,766 . The biggest common factor number is the GCF number.
So the greatest common factor 859,718,766 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 59/859, 14/718, 106/766

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 59/859, 14/718, 106/766?

Answer: LCM of Numerators as per given numbers 59/859, 14/718, 106/766 is

LCM of Numerators i.e. for 59,14,106 is 43778

GCF of denominators i.e. for 859,718,766 is 1.

Thus, LCM of Fractions is 43778.Finally, LCM of Fractions for 59/859, 14/718, 106/766 is 43778.