Least Common Multiple of 489/38, 643/46, 251/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/38, 643/46, 251/138 quickly i.e. 78921177/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/38, 643/46, 251/138 is 78921177/2.

LCM(489/38, 643/46, 251/138) = 78921177/2

LCM of 489/38, 643/46, 251/138

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 489/38,643/46,251/138

Given numbers are 489/38,643/46,251/138

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 489,643,251

Least Common Multiple of Numerators i.e. LCM of 489,643,251 is 78921177.

GCF of Denominators means GCF of 38,46,138 as per the given fractions.

GCF of 38,46,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,643,251

LCM of Fractions 489/38,643/46,251/138 is 78921177/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 78921177

Least Common Multiple of 489,643,251 with GCF Formula

Least Common Multiple of 489,643,251 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 489,643,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,643,251) = 1

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

GCF(489,643,251) x common factors =1 x 1 = 1

LCM(489,643,251) = ( 489 × 643 × 251 ) / 1

LCM(489,643,251) = 78921177 / 1

LCM(489,643,251) = 78921177


Lets's calculate GCF of 38,46,138

2 38, 46, 138
19, 23, 69

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78921177/2

Therefore the LCM of Fractions 489/38,643/46,251/138 is 78921177/2

Greatest Common Factor of 38,46,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,46,138 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 138

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

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

Greatest Common Factor

We found the factors 38,46,138 . The biggest common factor number is the GCF number.
So the greatest common factor 38,46,138 is 2.


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 489/38, 643/46, 251/138

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 489/38, 643/46, 251/138?

Answer: LCM of Numerators as per given numbers 489/38, 643/46, 251/138 is

LCM of Numerators i.e. for 489,643,251 is 78921177

GCF of denominators i.e. for 38,46,138 is 2.

Thus, LCM of Fractions is 78921177/2.Finally, LCM of Fractions for 489/38, 643/46, 251/138 is 78921177/2.