Least Common Multiple of 3501/713, 1000/2835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3501/713, 1000/2835 quickly i.e. 3501000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3501/713, 1000/2835 is 3501000.

LCM(3501/713, 1000/2835) = 3501000

LCM of 3501/713, 1000/2835

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 3501/713,1000/2835

Given numbers are 3501/713,1000/2835

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 3501,1000

Least Common Multiple of Numerators i.e. LCM of 3501,1000 is 3501000.

GCF of Denominators means GCF of 713,2835 as per the given fractions.

GCF of 713,2835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3501,1000

LCM of Fractions 3501/713,1000/2835 is 3501000

Given numbers has no common factors except 1. So, there LCM is their product i.e 3501000

Least Common Multiple of 3501,1000 with GCF Formula

Least Common Multiple of 3501,1000 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 3501,1000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3501,1000) = 1

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

GCF(3501,1000) x common factors =1 x 1 = 1

LCM(3501,1000) = ( 3501 × 1000 ) / 1

LCM(3501,1000) = 3501000 / 1

LCM(3501,1000) = 3501000


Lets's calculate GCF of 713,2835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3501000/1

Therefore the LCM of Fractions 3501/713,1000/2835 is 3501000

Greatest Common Factor of 713,2835 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,2835 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Greatest Common Factor

We found the factors 713,2835 . The biggest common factor number is the GCF number.
So the greatest common factor 713,2835 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 3501/713, 1000/2835

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 3501/713, 1000/2835?

Answer: LCM of Numerators as per given numbers 3501/713, 1000/2835 is

LCM of Numerators i.e. for 3501,1000 is 3501000

GCF of denominators i.e. for 713,2835 is 1.

Thus, LCM of Fractions is 3501000.Finally, LCM of Fractions for 3501/713, 1000/2835 is 3501000.