Least Common Multiple of 35/575, 47/220, 466/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/575, 47/220, 466/202 quickly i.e. 766570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/575, 47/220, 466/202 is 766570.

LCM(35/575, 47/220, 466/202) = 766570

LCM of 35/575, 47/220, 466/202

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 35/575,47/220,466/202

Given numbers are 35/575,47/220,466/202

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 35,47,466

Least Common Multiple of Numerators i.e. LCM of 35,47,466 is 766570.

GCF of Denominators means GCF of 575,220,202 as per the given fractions.

GCF of 575,220,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,47,466

LCM of Fractions 35/575,47/220,466/202 is 766570

Given numbers has no common factors except 1. So, there LCM is their product i.e 766570

Least Common Multiple of 35,47,466 with GCF Formula

Least Common Multiple of 35,47,466 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 35,47,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,47,466) = 1

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

GCF(35,47,466) x common factors =1 x 1 = 1

LCM(35,47,466) = ( 35 × 47 × 466 ) / 1

LCM(35,47,466) = 766570 / 1

LCM(35,47,466) = 766570


Lets's calculate GCF of 575,220,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 766570/1

Therefore the LCM of Fractions 35/575,47/220,466/202 is 766570

Greatest Common Factor of 575,220,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,220,202 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 575,220,202 . The biggest common factor number is the GCF number.
So the greatest common factor 575,220,202 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 35/575, 47/220, 466/202

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 35/575, 47/220, 466/202?

Answer: LCM of Numerators as per given numbers 35/575, 47/220, 466/202 is

LCM of Numerators i.e. for 35,47,466 is 766570

GCF of denominators i.e. for 575,220,202 is 1.

Thus, LCM of Fractions is 766570.Finally, LCM of Fractions for 35/575, 47/220, 466/202 is 766570.