Least Common Multiple of 65/971, 66/611, 520/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/971, 66/611, 520/183 quickly i.e. 17160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/971, 66/611, 520/183 is 17160.

LCM(65/971, 66/611, 520/183) = 17160

LCM of 65/971, 66/611, 520/183

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 65/971,66/611,520/183

Given numbers are 65/971,66/611,520/183

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 65,66,520

Least Common Multiple of Numerators i.e. LCM of 65,66,520 is 17160.

GCF of Denominators means GCF of 971,611,183 as per the given fractions.

GCF of 971,611,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,66,520

LCM of Fractions 65/971,66/611,520/183 is 17160

2 65, 66, 520
5 65, 33, 260
13 13, 33, 52
1, 33, 4

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 33 x 4 = 17160

Least Common Multiple of 65,66,520 with GCF Formula

Least Common Multiple of 65,66,520 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 65,66,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,66,520) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,66,520) x common factors =1 x 130 = 130

LCM(65,66,520) = ( 65 × 66 × 520 ) / 130

LCM(65,66,520) = 2230800 / 130

LCM(65,66,520) = 17160


Lets's calculate GCF of 971,611,183

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17160/1

Therefore the LCM of Fractions 65/971,66/611,520/183 is 17160

Greatest Common Factor of 971,611,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,611,183 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 971,611,183 . The biggest common factor number is the GCF number.
So the greatest common factor 971,611,183 is 1.


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 65/971, 66/611, 520/183

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 65/971, 66/611, 520/183?

Answer: LCM of Numerators as per given numbers 65/971, 66/611, 520/183 is

LCM of Numerators i.e. for 65,66,520 is 17160

GCF of denominators i.e. for 971,611,183 is 1.

Thus, LCM of Fractions is 17160.Finally, LCM of Fractions for 65/971, 66/611, 520/183 is 17160.