Least Common Multiple of 5/19, 3/81, 77/74, 49/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/19, 3/81, 77/74, 49/286 quickly i.e. 8085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/19, 3/81, 77/74, 49/286 is 8085.

LCM(5/19, 3/81, 77/74, 49/286) = 8085

LCM of 5/19, 3/81, 77/74, 49/286

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 5/19,3/81,77/74,49/286

Given numbers are 5/19,3/81,77/74,49/286

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 5,3,77,49

Least Common Multiple of Numerators i.e. LCM of 5,3,77,49 is 8085.

GCF of Denominators means GCF of 19,81,74,286 as per the given fractions.

GCF of 19,81,74,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,3,77,49

LCM of Fractions 5/19,3/81,77/74,49/286 is 8085

7 5, 3, 77, 49
5, 3, 11, 7

∴ So the LCM of the given numbers is 7 x 5 x 3 x 11 x 7 = 8085

Least Common Multiple of 5,3,77,49 with GCF Formula

Least Common Multiple of 5,3,77,49 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 5,3,77,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,3,77,49) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(5,3,77,49) x common factors =1 x 7 = 7

LCM(5,3,77,49) = ( 5 × 3 × 77 × 49 ) / 7

LCM(5,3,77,49) = 56595 / 7

LCM(5,3,77,49) = 8085


Lets's calculate GCF of 19,81,74,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8085/1

Therefore the LCM of Fractions 5/19,3/81,77/74,49/286 is 8085

Greatest Common Factor of 19,81,74,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,81,74,286 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 19,81,74,286 . The biggest common factor number is the GCF number.
So the greatest common factor 19,81,74,286 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 5/19, 3/81, 77/74, 49/286

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 5/19, 3/81, 77/74, 49/286?

Answer: LCM of Numerators as per given numbers 5/19, 3/81, 77/74, 49/286 is

LCM of Numerators i.e. for 5,3,77,49 is 8085

GCF of denominators i.e. for 19,81,74,286 is 1.

Thus, LCM of Fractions is 8085.Finally, LCM of Fractions for 5/19, 3/81, 77/74, 49/286 is 8085.