Least Common Multiple of 407/38, 503/29, 810/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 407/38, 503/29, 810/201 quickly i.e. 165824010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/38, 503/29, 810/201 is 165824010.

LCM(407/38, 503/29, 810/201) = 165824010

LCM of 407/38, 503/29, 810/201

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 407/38,503/29,810/201

Given numbers are 407/38,503/29,810/201

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 407,503,810

Least Common Multiple of Numerators i.e. LCM of 407,503,810 is 165824010.

GCF of Denominators means GCF of 38,29,201 as per the given fractions.

GCF of 38,29,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,503,810

LCM of Fractions 407/38,503/29,810/201 is 165824010

Given numbers has no common factors except 1. So, there LCM is their product i.e 165824010

Least Common Multiple of 407,503,810 with GCF Formula

Least Common Multiple of 407,503,810 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 407,503,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,503,810) = 1

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

GCF(407,503,810) x common factors =1 x 1 = 1

LCM(407,503,810) = ( 407 × 503 × 810 ) / 1

LCM(407,503,810) = 165824010 / 1

LCM(407,503,810) = 165824010


Lets's calculate GCF of 38,29,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165824010/1

Therefore the LCM of Fractions 407/38,503/29,810/201 is 165824010

Greatest Common Factor of 38,29,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,29,201 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 38,29,201 . The biggest common factor number is the GCF number.
So the greatest common factor 38,29,201 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 407/38, 503/29, 810/201

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 407/38, 503/29, 810/201?

Answer: LCM of Numerators as per given numbers 407/38, 503/29, 810/201 is

LCM of Numerators i.e. for 407,503,810 is 165824010

GCF of denominators i.e. for 38,29,201 is 1.

Thus, LCM of Fractions is 165824010.Finally, LCM of Fractions for 407/38, 503/29, 810/201 is 165824010.