Least Common Multiple of 203/30, 406/95, 335/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 203/30, 406/95, 335/90 quickly i.e. 27202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 203/30, 406/95, 335/90 is 27202.

LCM(203/30, 406/95, 335/90) = 27202

LCM of 203/30, 406/95, 335/90

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 203/30,406/95,335/90

Given numbers are 203/30,406/95,335/90

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 203,406,335

Least Common Multiple of Numerators i.e. LCM of 203,406,335 is 136010.

GCF of Denominators means GCF of 30,95,90 as per the given fractions.

GCF of 30,95,90 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 203,406,335

LCM of Fractions 203/30,406/95,335/90 is 27202

7 203, 406, 335
29 29, 58, 335
1, 2, 335

∴ So the LCM of the given numbers is 7 x 29 x 1 x 2 x 335 = 136010

Least Common Multiple of 203,406,335 with GCF Formula

Least Common Multiple of 203,406,335 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 203,406,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,406,335) = 1

common factors(in case of two or more numbers have common factors) = 203

GCF(203,406,335) x common factors =1 x 203 = 203

LCM(203,406,335) = ( 203 × 406 × 335 ) / 203

LCM(203,406,335) = 27610030 / 203

LCM(203,406,335) = 136010


Lets's calculate GCF of 30,95,90

5 30, 95, 90
6, 19, 18

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136010/5

Therefore the LCM of Fractions 203/30,406/95,335/90 is 27202

Greatest Common Factor of 30,95,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,95,90 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 30,95,90 . The biggest common factor number is the GCF number.
So the greatest common factor 30,95,90 is 5.


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 203/30, 406/95, 335/90

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 203/30, 406/95, 335/90?

Answer: LCM of Numerators as per given numbers 203/30, 406/95, 335/90 is

LCM of Numerators i.e. for 203,406,335 is 136010

GCF of denominators i.e. for 30,95,90 is 5.

Thus, LCM of Fractions is 27202.Finally, LCM of Fractions for 203/30, 406/95, 335/90 is 27202.