Least Common Multiple of 375/475, 903/438, 206/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/475, 903/438, 206/533 quickly i.e. 23252250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/475, 903/438, 206/533 is 23252250.

LCM(375/475, 903/438, 206/533) = 23252250

LCM of 375/475, 903/438, 206/533

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 375/475,903/438,206/533

Given numbers are 375/475,903/438,206/533

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 375,903,206

Least Common Multiple of Numerators i.e. LCM of 375,903,206 is 23252250.

GCF of Denominators means GCF of 475,438,533 as per the given fractions.

GCF of 475,438,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,903,206

LCM of Fractions 375/475,903/438,206/533 is 23252250

3 375, 903, 206
125, 301, 206

∴ So the LCM of the given numbers is 3 x 125 x 301 x 206 = 23252250

Least Common Multiple of 375,903,206 with GCF Formula

Least Common Multiple of 375,903,206 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 375,903,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,903,206) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(375,903,206) x common factors =1 x 3 = 3

LCM(375,903,206) = ( 375 × 903 × 206 ) / 3

LCM(375,903,206) = 69756750 / 3

LCM(375,903,206) = 23252250


Lets's calculate GCF of 475,438,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23252250/1

Therefore the LCM of Fractions 375/475,903/438,206/533 is 23252250

Greatest Common Factor of 475,438,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,438,533 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 475,438,533 . The biggest common factor number is the GCF number.
So the greatest common factor 475,438,533 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 375/475, 903/438, 206/533

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 375/475, 903/438, 206/533?

Answer: LCM of Numerators as per given numbers 375/475, 903/438, 206/533 is

LCM of Numerators i.e. for 375,903,206 is 23252250

GCF of denominators i.e. for 475,438,533 is 1.

Thus, LCM of Fractions is 23252250.Finally, LCM of Fractions for 375/475, 903/438, 206/533 is 23252250.