Least Common Multiple of 570/302, 1875/2006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/302, 1875/2006 quickly i.e. 35625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/302, 1875/2006 is 35625.

LCM(570/302, 1875/2006) = 35625

LCM of 570/302, 1875/2006

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 570/302,1875/2006

Given numbers are 570/302,1875/2006

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 570,1875

Least Common Multiple of Numerators i.e. LCM of 570,1875 is 71250.

GCF of Denominators means GCF of 302,2006 as per the given fractions.

GCF of 302,2006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,1875

LCM of Fractions 570/302,1875/2006 is 35625

3 570, 1875
5 190, 625
38, 125

∴ So the LCM of the given numbers is 3 x 5 x 38 x 125 = 71250

Least Common Multiple of 570,1875 with GCF Formula

Least Common Multiple of 570,1875 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 570,1875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,1875) = 15

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

GCF(570,1875) x common factors =15 x 1 = 15

LCM(570,1875) = ( 570 × 1875 ) / 15

LCM(570,1875) = 1068750 / 15

LCM(570,1875) = 71250


Lets's calculate GCF of 302,2006

2 302, 2006
151, 1003

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71250/2

Therefore the LCM of Fractions 570/302,1875/2006 is 35625

Greatest Common Factor of 302,2006 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,2006 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 2006

List of positive integer factors of 2006 that divides 2006 without a remainder.

1,2,17,34,59,118,1003,2006

Greatest Common Factor

We found the factors 302,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 302,2006 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 570/302, 1875/2006

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 570/302, 1875/2006?

Answer: LCM of Numerators as per given numbers 570/302, 1875/2006 is

LCM of Numerators i.e. for 570,1875 is 71250

GCF of denominators i.e. for 302,2006 is 2.

Thus, LCM of Fractions is 35625.Finally, LCM of Fractions for 570/302, 1875/2006 is 35625.