Least Common Multiple of 67/465, 1199/2915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/465, 1199/2915 quickly i.e. 80333/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/465, 1199/2915 is 80333/5.

LCM(67/465, 1199/2915) = 80333/5

LCM of 67/465, 1199/2915

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 67/465,1199/2915

Given numbers are 67/465,1199/2915

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 67,1199

Least Common Multiple of Numerators i.e. LCM of 67,1199 is 80333.

GCF of Denominators means GCF of 465,2915 as per the given fractions.

GCF of 465,2915 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,1199

LCM of Fractions 67/465,1199/2915 is 80333/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 80333

Least Common Multiple of 67,1199 with GCF Formula

Least Common Multiple of 67,1199 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 67,1199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,1199) = 1

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

GCF(67,1199) x common factors =1 x 1 = 1

LCM(67,1199) = ( 67 × 1199 ) / 1

LCM(67,1199) = 80333 / 1

LCM(67,1199) = 80333


Lets's calculate GCF of 465,2915

5 465, 2915
93, 583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80333/5

Therefore the LCM of Fractions 67/465,1199/2915 is 80333/5

Greatest Common Factor of 465,2915 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,2915 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 2915

List of positive integer factors of 2915 that divides 2915 without a remainder.

1,5,11,53,55,265,583,2915

Greatest Common Factor

We found the factors 465,2915 . The biggest common factor number is the GCF number.
So the greatest common factor 465,2915 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 67/465, 1199/2915

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 67/465, 1199/2915?

Answer: LCM of Numerators as per given numbers 67/465, 1199/2915 is

LCM of Numerators i.e. for 67,1199 is 80333

GCF of denominators i.e. for 465,2915 is 5.

Thus, LCM of Fractions is 80333/5.Finally, LCM of Fractions for 67/465, 1199/2915 is 80333/5.