Least Common Multiple of 61/81, 44/63, 55/13, 42/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/81, 44/63, 55/13, 42/631 quickly i.e. 281820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/81, 44/63, 55/13, 42/631 is 281820.

LCM(61/81, 44/63, 55/13, 42/631) = 281820

LCM of 61/81, 44/63, 55/13, 42/631

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 61/81,44/63,55/13,42/631

Given numbers are 61/81,44/63,55/13,42/631

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 61,44,55,42

Least Common Multiple of Numerators i.e. LCM of 61,44,55,42 is 281820.

GCF of Denominators means GCF of 81,63,13,631 as per the given fractions.

GCF of 81,63,13,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,44,55,42

LCM of Fractions 61/81,44/63,55/13,42/631 is 281820

2 61, 44, 55, 42
11 61, 22, 55, 21
61, 2, 5, 21

∴ So the LCM of the given numbers is 2 x 11 x 61 x 2 x 5 x 21 = 281820

Least Common Multiple of 61,44,55,42 with GCF Formula

Least Common Multiple of 61,44,55,42 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 61,44,55,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,44,55,42) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(61,44,55,42) x common factors =1 x 22 = 22

LCM(61,44,55,42) = ( 61 × 44 × 55 × 42 ) / 22

LCM(61,44,55,42) = 6200040 / 22

LCM(61,44,55,42) = 281820


Lets's calculate GCF of 81,63,13,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281820/1

Therefore the LCM of Fractions 61/81,44/63,55/13,42/631 is 281820

Greatest Common Factor of 81,63,13,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,63,13,631 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 81,63,13,631 . The biggest common factor number is the GCF number.
So the greatest common factor 81,63,13,631 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 61/81, 44/63, 55/13, 42/631

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 61/81, 44/63, 55/13, 42/631?

Answer: LCM of Numerators as per given numbers 61/81, 44/63, 55/13, 42/631 is

LCM of Numerators i.e. for 61,44,55,42 is 281820

GCF of denominators i.e. for 81,63,13,631 is 1.

Thus, LCM of Fractions is 281820.Finally, LCM of Fractions for 61/81, 44/63, 55/13, 42/631 is 281820.