Least Common Multiple of 65/214, 80/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/214, 80/992 quickly i.e. 520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/214, 80/992 is 520.

LCM(65/214, 80/992) = 520

LCM of 65/214, 80/992

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 65/214,80/992

Given numbers are 65/214,80/992

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 65,80

Least Common Multiple of Numerators i.e. LCM of 65,80 is 1040.

GCF of Denominators means GCF of 214,992 as per the given fractions.

GCF of 214,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,80

LCM of Fractions 65/214,80/992 is 520

5 65, 80
13, 16

∴ So the LCM of the given numbers is 5 x 13 x 16 = 1040

Least Common Multiple of 65,80 with GCF Formula

Least Common Multiple of 65,80 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 65,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,80) = 5

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

GCF(65,80) x common factors =5 x 1 = 5

LCM(65,80) = ( 65 × 80 ) / 5

LCM(65,80) = 5200 / 5

LCM(65,80) = 1040


Lets's calculate GCF of 214,992

2 214, 992
107, 496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1040/2

Therefore the LCM of Fractions 65/214,80/992 is 520

Greatest Common Factor of 214,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,992 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 214,992 . The biggest common factor number is the GCF number.
So the greatest common factor 214,992 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 65/214, 80/992

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 65/214, 80/992?

Answer: LCM of Numerators as per given numbers 65/214, 80/992 is

LCM of Numerators i.e. for 65,80 is 1040

GCF of denominators i.e. for 214,992 is 2.

Thus, LCM of Fractions is 520.Finally, LCM of Fractions for 65/214, 80/992 is 520.