Least Common Multiple of 65/414, 78/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/414, 78/990 quickly i.e. 390/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/414, 78/990 is 390/18.

LCM(65/414, 78/990) = 390/18

LCM of 65/414, 78/990

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 65/414,78/990

Given numbers are 65/414,78/990

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 65,78

Least Common Multiple of Numerators i.e. LCM of 65,78 is 390.

GCF of Denominators means GCF of 414,990 as per the given fractions.

GCF of 414,990 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,78

LCM of Fractions 65/414,78/990 is 390/18

13 65, 78
5, 6

∴ So the LCM of the given numbers is 13 x 5 x 6 = 390

Least Common Multiple of 65,78 with GCF Formula

Least Common Multiple of 65,78 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 65,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,78) = 13

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

GCF(65,78) x common factors =13 x 1 = 13

LCM(65,78) = ( 65 × 78 ) / 13

LCM(65,78) = 5070 / 13

LCM(65,78) = 390


Lets's calculate GCF of 414,990

2 414, 990
3 207, 495
3 69, 165
23, 55

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390/18

Therefore the LCM of Fractions 65/414,78/990 is 390/18

Greatest Common Factor of 414,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,990 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 414,990 . The biggest common factor number is the GCF number.
So the greatest common factor 414,990 is 18.


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 65/414, 78/990

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 65/414, 78/990?

Answer: LCM of Numerators as per given numbers 65/414, 78/990 is

LCM of Numerators i.e. for 65,78 is 390

GCF of denominators i.e. for 414,990 is 18.

Thus, LCM of Fractions is 390/18.Finally, LCM of Fractions for 65/414, 78/990 is 390/18.