Least Common Multiple of 65/178, 323/166, 105/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/178, 323/166, 105/571 quickly i.e. 440895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/178, 323/166, 105/571 is 440895.

LCM(65/178, 323/166, 105/571) = 440895

LCM of 65/178, 323/166, 105/571

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 65/178,323/166,105/571

Given numbers are 65/178,323/166,105/571

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 65,323,105

Least Common Multiple of Numerators i.e. LCM of 65,323,105 is 440895.

GCF of Denominators means GCF of 178,166,571 as per the given fractions.

GCF of 178,166,571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,323,105

LCM of Fractions 65/178,323/166,105/571 is 440895

5 65, 323, 105
13, 323, 21

∴ So the LCM of the given numbers is 5 x 13 x 323 x 21 = 440895

Least Common Multiple of 65,323,105 with GCF Formula

Least Common Multiple of 65,323,105 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 65,323,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,323,105) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,323,105) x common factors =1 x 5 = 5

LCM(65,323,105) = ( 65 × 323 × 105 ) / 5

LCM(65,323,105) = 2204475 / 5

LCM(65,323,105) = 440895


Lets's calculate GCF of 178,166,571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440895/1

Therefore the LCM of Fractions 65/178,323/166,105/571 is 440895

Greatest Common Factor of 178,166,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,166,571 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 178,166,571 . The biggest common factor number is the GCF number.
So the greatest common factor 178,166,571 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/178, 323/166, 105/571

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 65/178, 323/166, 105/571?

Answer: LCM of Numerators as per given numbers 65/178, 323/166, 105/571 is

LCM of Numerators i.e. for 65,323,105 is 440895

GCF of denominators i.e. for 178,166,571 is 1.

Thus, LCM of Fractions is 440895.Finally, LCM of Fractions for 65/178, 323/166, 105/571 is 440895.