Least Common Multiple of 81/55, 58/14, 86/50, 18/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/55, 58/14, 86/50, 18/628 quickly i.e. 202014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/55, 58/14, 86/50, 18/628 is 202014.

LCM(81/55, 58/14, 86/50, 18/628) = 202014

LCM of 81/55, 58/14, 86/50, 18/628

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 81/55,58/14,86/50,18/628

Given numbers are 81/55,58/14,86/50,18/628

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 81,58,86,18

Least Common Multiple of Numerators i.e. LCM of 81,58,86,18 is 202014.

GCF of Denominators means GCF of 55,14,50,628 as per the given fractions.

GCF of 55,14,50,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,58,86,18

LCM of Fractions 81/55,58/14,86/50,18/628 is 202014

2 81, 58, 86, 18
3 81, 29, 43, 9
3 27, 29, 43, 3
9, 29, 43, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 29 x 43 x 1 = 202014

Least Common Multiple of 81,58,86,18 with GCF Formula

Least Common Multiple of 81,58,86,18 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 81,58,86,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,58,86,18) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(81,58,86,18) x common factors =1 x 36 = 36

LCM(81,58,86,18) = ( 81 × 58 × 86 × 18 ) / 36

LCM(81,58,86,18) = 7272504 / 36

LCM(81,58,86,18) = 202014


Lets's calculate GCF of 55,14,50,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202014/1

Therefore the LCM of Fractions 81/55,58/14,86/50,18/628 is 202014

Greatest Common Factor of 55,14,50,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,14,50,628 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 55,14,50,628 . The biggest common factor number is the GCF number.
So the greatest common factor 55,14,50,628 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 81/55, 58/14, 86/50, 18/628

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 81/55, 58/14, 86/50, 18/628?

Answer: LCM of Numerators as per given numbers 81/55, 58/14, 86/50, 18/628 is

LCM of Numerators i.e. for 81,58,86,18 is 202014

GCF of denominators i.e. for 55,14,50,628 is 1.

Thus, LCM of Fractions is 202014.Finally, LCM of Fractions for 81/55, 58/14, 86/50, 18/628 is 202014.