Least Common Multiple of 41/59, 99/22, 30/89, 51/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/59, 99/22, 30/89, 51/445 quickly i.e. 690030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/59, 99/22, 30/89, 51/445 is 690030.

LCM(41/59, 99/22, 30/89, 51/445) = 690030

LCM of 41/59, 99/22, 30/89, 51/445

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 41/59,99/22,30/89,51/445

Given numbers are 41/59,99/22,30/89,51/445

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 41,99,30,51

Least Common Multiple of Numerators i.e. LCM of 41,99,30,51 is 690030.

GCF of Denominators means GCF of 59,22,89,445 as per the given fractions.

GCF of 59,22,89,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,99,30,51

LCM of Fractions 41/59,99/22,30/89,51/445 is 690030

3 41, 99, 30, 51
41, 33, 10, 17

∴ So the LCM of the given numbers is 3 x 41 x 33 x 10 x 17 = 690030

Least Common Multiple of 41,99,30,51 with GCF Formula

Least Common Multiple of 41,99,30,51 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 41,99,30,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,99,30,51) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(41,99,30,51) x common factors =1 x 9 = 9

LCM(41,99,30,51) = ( 41 × 99 × 30 × 51 ) / 9

LCM(41,99,30,51) = 6210270 / 9

LCM(41,99,30,51) = 690030


Lets's calculate GCF of 59,22,89,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690030/1

Therefore the LCM of Fractions 41/59,99/22,30/89,51/445 is 690030

Greatest Common Factor of 59,22,89,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,22,89,445 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 59,22,89,445 . The biggest common factor number is the GCF number.
So the greatest common factor 59,22,89,445 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 41/59, 99/22, 30/89, 51/445

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 41/59, 99/22, 30/89, 51/445?

Answer: LCM of Numerators as per given numbers 41/59, 99/22, 30/89, 51/445 is

LCM of Numerators i.e. for 41,99,30,51 is 690030

GCF of denominators i.e. for 59,22,89,445 is 1.

Thus, LCM of Fractions is 690030.Finally, LCM of Fractions for 41/59, 99/22, 30/89, 51/445 is 690030.