Least Common Multiple of 965/30, 589/24, 901/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 965/30, 589/24, 901/298 quickly i.e. 512114885/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 965/30, 589/24, 901/298 is 512114885/2.

LCM(965/30, 589/24, 901/298) = 512114885/2

LCM of 965/30, 589/24, 901/298

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 965/30,589/24,901/298

Given numbers are 965/30,589/24,901/298

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 965,589,901

Least Common Multiple of Numerators i.e. LCM of 965,589,901 is 512114885.

GCF of Denominators means GCF of 30,24,298 as per the given fractions.

GCF of 30,24,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 965,589,901

LCM of Fractions 965/30,589/24,901/298 is 512114885/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 512114885

Least Common Multiple of 965,589,901 with GCF Formula

Least Common Multiple of 965,589,901 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 965,589,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,589,901) = 1

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

GCF(965,589,901) x common factors =1 x 1 = 1

LCM(965,589,901) = ( 965 × 589 × 901 ) / 1

LCM(965,589,901) = 512114885 / 1

LCM(965,589,901) = 512114885


Lets's calculate GCF of 30,24,298

2 30, 24, 298
15, 12, 149

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512114885/2

Therefore the LCM of Fractions 965/30,589/24,901/298 is 512114885/2

Greatest Common Factor of 30,24,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,24,298 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 30,24,298 . The biggest common factor number is the GCF number.
So the greatest common factor 30,24,298 is 2.


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 965/30, 589/24, 901/298

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 965/30, 589/24, 901/298?

Answer: LCM of Numerators as per given numbers 965/30, 589/24, 901/298 is

LCM of Numerators i.e. for 965,589,901 is 512114885

GCF of denominators i.e. for 30,24,298 is 2.

Thus, LCM of Fractions is 512114885/2.Finally, LCM of Fractions for 965/30, 589/24, 901/298 is 512114885/2.