Least Common Multiple of 35/857, 8005/9639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/857, 8005/9639 quickly i.e. 56035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/857, 8005/9639 is 56035.

LCM(35/857, 8005/9639) = 56035

LCM of 35/857, 8005/9639

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 35/857,8005/9639

Given numbers are 35/857,8005/9639

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 35,8005

Least Common Multiple of Numerators i.e. LCM of 35,8005 is 56035.

GCF of Denominators means GCF of 857,9639 as per the given fractions.

GCF of 857,9639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,8005

LCM of Fractions 35/857,8005/9639 is 56035

5 35, 8005
7, 1601

∴ So the LCM of the given numbers is 5 x 7 x 1601 = 56035

Least Common Multiple of 35,8005 with GCF Formula

Least Common Multiple of 35,8005 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 35,8005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,8005) = 5

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

GCF(35,8005) x common factors =5 x 1 = 5

LCM(35,8005) = ( 35 × 8005 ) / 5

LCM(35,8005) = 280175 / 5

LCM(35,8005) = 56035


Lets's calculate GCF of 857,9639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56035/1

Therefore the LCM of Fractions 35/857,8005/9639 is 56035

Greatest Common Factor of 857,9639 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,9639 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639

Greatest Common Factor

We found the factors 857,9639 . The biggest common factor number is the GCF number.
So the greatest common factor 857,9639 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 35/857, 8005/9639

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 35/857, 8005/9639?

Answer: LCM of Numerators as per given numbers 35/857, 8005/9639 is

LCM of Numerators i.e. for 35,8005 is 56035

GCF of denominators i.e. for 857,9639 is 1.

Thus, LCM of Fractions is 56035.Finally, LCM of Fractions for 35/857, 8005/9639 is 56035.