Least Common Multiple of 65/171, 679/38, 909/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/171, 679/38, 909/172 quickly i.e. 40118715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/171, 679/38, 909/172 is 40118715.

LCM(65/171, 679/38, 909/172) = 40118715

LCM of 65/171, 679/38, 909/172

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 65/171,679/38,909/172

Given numbers are 65/171,679/38,909/172

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 65,679,909

Least Common Multiple of Numerators i.e. LCM of 65,679,909 is 40118715.

GCF of Denominators means GCF of 171,38,172 as per the given fractions.

GCF of 171,38,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,679,909

LCM of Fractions 65/171,679/38,909/172 is 40118715

Given numbers has no common factors except 1. So, there LCM is their product i.e 40118715

Least Common Multiple of 65,679,909 with GCF Formula

Least Common Multiple of 65,679,909 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 65,679,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,679,909) = 1

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

GCF(65,679,909) x common factors =1 x 1 = 1

LCM(65,679,909) = ( 65 × 679 × 909 ) / 1

LCM(65,679,909) = 40118715 / 1

LCM(65,679,909) = 40118715


Lets's calculate GCF of 171,38,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40118715/1

Therefore the LCM of Fractions 65/171,679/38,909/172 is 40118715

Greatest Common Factor of 171,38,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,38,172 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 171,38,172 . The biggest common factor number is the GCF number.
So the greatest common factor 171,38,172 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 65/171, 679/38, 909/172

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 65/171, 679/38, 909/172?

Answer: LCM of Numerators as per given numbers 65/171, 679/38, 909/172 is

LCM of Numerators i.e. for 65,679,909 is 40118715

GCF of denominators i.e. for 171,38,172 is 1.

Thus, LCM of Fractions is 40118715.Finally, LCM of Fractions for 65/171, 679/38, 909/172 is 40118715.