Least Common Multiple of 587/40, 742/9853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/40, 742/9853 quickly i.e. 435554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/40, 742/9853 is 435554.

LCM(587/40, 742/9853) = 435554

LCM of 587/40, 742/9853

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 587/40,742/9853

Given numbers are 587/40,742/9853

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 587,742

Least Common Multiple of Numerators i.e. LCM of 587,742 is 435554.

GCF of Denominators means GCF of 40,9853 as per the given fractions.

GCF of 40,9853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,742

LCM of Fractions 587/40,742/9853 is 435554

Given numbers has no common factors except 1. So, there LCM is their product i.e 435554

Least Common Multiple of 587,742 with GCF Formula

Least Common Multiple of 587,742 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 587,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,742) = 1

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

GCF(587,742) x common factors =1 x 1 = 1

LCM(587,742) = ( 587 × 742 ) / 1

LCM(587,742) = 435554 / 1

LCM(587,742) = 435554


Lets's calculate GCF of 40,9853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435554/1

Therefore the LCM of Fractions 587/40,742/9853 is 435554

Greatest Common Factor of 40,9853 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9853 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 9853

List of positive integer factors of 9853 that divides 9853 without a remainder.

1,59,167,9853

Greatest Common Factor

We found the factors 40,9853 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9853 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 587/40, 742/9853

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 587/40, 742/9853?

Answer: LCM of Numerators as per given numbers 587/40, 742/9853 is

LCM of Numerators i.e. for 587,742 is 435554

GCF of denominators i.e. for 40,9853 is 1.

Thus, LCM of Fractions is 435554.Finally, LCM of Fractions for 587/40, 742/9853 is 435554.