Least Common Multiple of 38/56, 27/70, 90/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/56, 27/70, 90/618 quickly i.e. 2565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/56, 27/70, 90/618 is 2565.

LCM(38/56, 27/70, 90/618) = 2565

LCM of 38/56, 27/70, 90/618

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 38/56,27/70,90/618

Given numbers are 38/56,27/70,90/618

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 38,27,90

Least Common Multiple of Numerators i.e. LCM of 38,27,90 is 5130.

GCF of Denominators means GCF of 56,70,618 as per the given fractions.

GCF of 56,70,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,27,90

LCM of Fractions 38/56,27/70,90/618 is 2565

2 38, 27, 90
3 19, 27, 45
3 19, 9, 15
19, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 3 x 5 = 5130

Least Common Multiple of 38,27,90 with GCF Formula

Least Common Multiple of 38,27,90 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 38,27,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,27,90) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(38,27,90) x common factors =1 x 18 = 18

LCM(38,27,90) = ( 38 × 27 × 90 ) / 18

LCM(38,27,90) = 92340 / 18

LCM(38,27,90) = 5130


Lets's calculate GCF of 56,70,618

2 56, 70, 618
28, 35, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5130/2

Therefore the LCM of Fractions 38/56,27/70,90/618 is 2565

Greatest Common Factor of 56,70,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,70,618 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 56,70,618 . The biggest common factor number is the GCF number.
So the greatest common factor 56,70,618 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 38/56, 27/70, 90/618

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 38/56, 27/70, 90/618?

Answer: LCM of Numerators as per given numbers 38/56, 27/70, 90/618 is

LCM of Numerators i.e. for 38,27,90 is 5130

GCF of denominators i.e. for 56,70,618 is 2.

Thus, LCM of Fractions is 2565.Finally, LCM of Fractions for 38/56, 27/70, 90/618 is 2565.