Least Common Multiple of 5709/858, 1017/5780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5709/858, 1017/5780 quickly i.e. 1935351/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5709/858, 1017/5780 is 1935351/2.

LCM(5709/858, 1017/5780) = 1935351/2

LCM of 5709/858, 1017/5780

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 5709/858,1017/5780

Given numbers are 5709/858,1017/5780

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 5709,1017

Least Common Multiple of Numerators i.e. LCM of 5709,1017 is 1935351.

GCF of Denominators means GCF of 858,5780 as per the given fractions.

GCF of 858,5780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5709,1017

LCM of Fractions 5709/858,1017/5780 is 1935351/2

3 5709, 1017
1903, 339

∴ So the LCM of the given numbers is 3 x 1903 x 339 = 1935351

Least Common Multiple of 5709,1017 with GCF Formula

Least Common Multiple of 5709,1017 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 5709,1017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5709,1017) = 3

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

GCF(5709,1017) x common factors =3 x 1 = 3

LCM(5709,1017) = ( 5709 × 1017 ) / 3

LCM(5709,1017) = 5806053 / 3

LCM(5709,1017) = 1935351


Lets's calculate GCF of 858,5780

2 858, 5780
429, 2890

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1935351/2

Therefore the LCM of Fractions 5709/858,1017/5780 is 1935351/2

Greatest Common Factor of 858,5780 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,5780 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Greatest Common Factor

We found the factors 858,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 858,5780 is 2.


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 5709/858, 1017/5780

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 5709/858, 1017/5780?

Answer: LCM of Numerators as per given numbers 5709/858, 1017/5780 is

LCM of Numerators i.e. for 5709,1017 is 1935351

GCF of denominators i.e. for 858,5780 is 2.

Thus, LCM of Fractions is 1935351/2.Finally, LCM of Fractions for 5709/858, 1017/5780 is 1935351/2.