Least Common Multiple of 38/447, 23/153, 387/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/447, 23/153, 387/771 quickly i.e. 112746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/447, 23/153, 387/771 is 112746.

LCM(38/447, 23/153, 387/771) = 112746

LCM of 38/447, 23/153, 387/771

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 38/447,23/153,387/771

Given numbers are 38/447,23/153,387/771

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 38,23,387

Least Common Multiple of Numerators i.e. LCM of 38,23,387 is 338238.

GCF of Denominators means GCF of 447,153,771 as per the given fractions.

GCF of 447,153,771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,23,387

LCM of Fractions 38/447,23/153,387/771 is 112746

Given numbers has no common factors except 1. So, there LCM is their product i.e 338238

Least Common Multiple of 38,23,387 with GCF Formula

Least Common Multiple of 38,23,387 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 38,23,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,23,387) = 1

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

GCF(38,23,387) x common factors =1 x 1 = 1

LCM(38,23,387) = ( 38 × 23 × 387 ) / 1

LCM(38,23,387) = 338238 / 1

LCM(38,23,387) = 338238


Lets's calculate GCF of 447,153,771

3 447, 153, 771
149, 51, 257

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338238/3

Therefore the LCM of Fractions 38/447,23/153,387/771 is 112746

Greatest Common Factor of 447,153,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,153,771 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 447,153,771 . The biggest common factor number is the GCF number.
So the greatest common factor 447,153,771 is 3.


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 38/447, 23/153, 387/771

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 38/447, 23/153, 387/771?

Answer: LCM of Numerators as per given numbers 38/447, 23/153, 387/771 is

LCM of Numerators i.e. for 38,23,387 is 338238

GCF of denominators i.e. for 447,153,771 is 3.

Thus, LCM of Fractions is 112746.Finally, LCM of Fractions for 38/447, 23/153, 387/771 is 112746.