Least Common Multiple of 59/350, 9984/1455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/350, 9984/1455 quickly i.e. 589056/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/350, 9984/1455 is 589056/5.

LCM(59/350, 9984/1455) = 589056/5

LCM of 59/350, 9984/1455

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 59/350,9984/1455

Given numbers are 59/350,9984/1455

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 59,9984

Least Common Multiple of Numerators i.e. LCM of 59,9984 is 589056.

GCF of Denominators means GCF of 350,1455 as per the given fractions.

GCF of 350,1455 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,9984

LCM of Fractions 59/350,9984/1455 is 589056/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 589056

Least Common Multiple of 59,9984 with GCF Formula

Least Common Multiple of 59,9984 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 59,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,9984) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,9984) x common factors =1 x 1 = 1

LCM(59,9984) = ( 59 × 9984 ) / 1

LCM(59,9984) = 589056 / 1

LCM(59,9984) = 589056


Lets's calculate GCF of 350,1455

5 350, 1455
70, 291

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589056/5

Therefore the LCM of Fractions 59/350,9984/1455 is 589056/5

Greatest Common Factor of 350,1455 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,1455 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1,3,5,15,97,291,485,1455

Greatest Common Factor

We found the factors 350,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 350,1455 is 5.


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 59/350, 9984/1455

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 59/350, 9984/1455?

Answer: LCM of Numerators as per given numbers 59/350, 9984/1455 is

LCM of Numerators i.e. for 59,9984 is 589056

GCF of denominators i.e. for 350,1455 is 5.

Thus, LCM of Fractions is 589056/5.Finally, LCM of Fractions for 59/350, 9984/1455 is 589056/5.