Least Common Multiple of 38/908, 719/138, 489/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/908, 719/138, 489/717 quickly i.e. 13360458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/908, 719/138, 489/717 is 13360458.

LCM(38/908, 719/138, 489/717) = 13360458

LCM of 38/908, 719/138, 489/717

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 38/908,719/138,489/717

Given numbers are 38/908,719/138,489/717

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 38,719,489

Least Common Multiple of Numerators i.e. LCM of 38,719,489 is 13360458.

GCF of Denominators means GCF of 908,138,717 as per the given fractions.

GCF of 908,138,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,719,489

LCM of Fractions 38/908,719/138,489/717 is 13360458

Given numbers has no common factors except 1. So, there LCM is their product i.e 13360458

Least Common Multiple of 38,719,489 with GCF Formula

Least Common Multiple of 38,719,489 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 38,719,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,719,489) = 1

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

GCF(38,719,489) x common factors =1 x 1 = 1

LCM(38,719,489) = ( 38 × 719 × 489 ) / 1

LCM(38,719,489) = 13360458 / 1

LCM(38,719,489) = 13360458


Lets's calculate GCF of 908,138,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13360458/1

Therefore the LCM of Fractions 38/908,719/138,489/717 is 13360458

Greatest Common Factor of 908,138,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,138,717 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 908,138,717 . The biggest common factor number is the GCF number.
So the greatest common factor 908,138,717 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 38/908, 719/138, 489/717

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 38/908, 719/138, 489/717?

Answer: LCM of Numerators as per given numbers 38/908, 719/138, 489/717 is

LCM of Numerators i.e. for 38,719,489 is 13360458

GCF of denominators i.e. for 908,138,717 is 1.

Thus, LCM of Fractions is 13360458.Finally, LCM of Fractions for 38/908, 719/138, 489/717 is 13360458.