Least Common Multiple of 859/53, 491/9766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 859/53, 491/9766 quickly i.e. 421769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/53, 491/9766 is 421769.

LCM(859/53, 491/9766) = 421769

LCM of 859/53, 491/9766

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 859/53,491/9766

Given numbers are 859/53,491/9766

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 859,491

Least Common Multiple of Numerators i.e. LCM of 859,491 is 421769.

GCF of Denominators means GCF of 53,9766 as per the given fractions.

GCF of 53,9766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,491

LCM of Fractions 859/53,491/9766 is 421769

Given numbers has no common factors except 1. So, there LCM is their product i.e 421769

Least Common Multiple of 859,491 with GCF Formula

Least Common Multiple of 859,491 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 859,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,491) = 1

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

GCF(859,491) x common factors =1 x 1 = 1

LCM(859,491) = ( 859 × 491 ) / 1

LCM(859,491) = 421769 / 1

LCM(859,491) = 421769


Lets's calculate GCF of 53,9766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421769/1

Therefore the LCM of Fractions 859/53,491/9766 is 421769

Greatest Common Factor of 53,9766 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,9766 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1,2,19,38,257,514,4883,9766

Greatest Common Factor

We found the factors 53,9766 . The biggest common factor number is the GCF number.
So the greatest common factor 53,9766 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 859/53, 491/9766

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 859/53, 491/9766?

Answer: LCM of Numerators as per given numbers 859/53, 491/9766 is

LCM of Numerators i.e. for 859,491 is 421769

GCF of denominators i.e. for 53,9766 is 1.

Thus, LCM of Fractions is 421769.Finally, LCM of Fractions for 859/53, 491/9766 is 421769.