Least Common Multiple of 59/133, 18/733, 988/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/133, 18/733, 988/718 quickly i.e. 524628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/133, 18/733, 988/718 is 524628.

LCM(59/133, 18/733, 988/718) = 524628

LCM of 59/133, 18/733, 988/718

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 59/133,18/733,988/718

Given numbers are 59/133,18/733,988/718

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 59,18,988

Least Common Multiple of Numerators i.e. LCM of 59,18,988 is 524628.

GCF of Denominators means GCF of 133,733,718 as per the given fractions.

GCF of 133,733,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,18,988

LCM of Fractions 59/133,18/733,988/718 is 524628

2 59, 18, 988
59, 9, 494

∴ So the LCM of the given numbers is 2 x 59 x 9 x 494 = 524628

Least Common Multiple of 59,18,988 with GCF Formula

Least Common Multiple of 59,18,988 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 59,18,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,18,988) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,18,988) x common factors =1 x 2 = 2

LCM(59,18,988) = ( 59 × 18 × 988 ) / 2

LCM(59,18,988) = 1049256 / 2

LCM(59,18,988) = 524628


Lets's calculate GCF of 133,733,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524628/1

Therefore the LCM of Fractions 59/133,18/733,988/718 is 524628

Greatest Common Factor of 133,733,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,733,718 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 133,733,718 . The biggest common factor number is the GCF number.
So the greatest common factor 133,733,718 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 59/133, 18/733, 988/718

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 59/133, 18/733, 988/718?

Answer: LCM of Numerators as per given numbers 59/133, 18/733, 988/718 is

LCM of Numerators i.e. for 59,18,988 is 524628

GCF of denominators i.e. for 133,733,718 is 1.

Thus, LCM of Fractions is 524628.Finally, LCM of Fractions for 59/133, 18/733, 988/718 is 524628.