Least Common Multiple of 65/317, 9145/1211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/317, 9145/1211 quickly i.e. 118885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/317, 9145/1211 is 118885.

LCM(65/317, 9145/1211) = 118885

LCM of 65/317, 9145/1211

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 65/317,9145/1211

Given numbers are 65/317,9145/1211

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 65,9145

Least Common Multiple of Numerators i.e. LCM of 65,9145 is 118885.

GCF of Denominators means GCF of 317,1211 as per the given fractions.

GCF of 317,1211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,9145

LCM of Fractions 65/317,9145/1211 is 118885

5 65, 9145
13, 1829

∴ So the LCM of the given numbers is 5 x 13 x 1829 = 118885

Least Common Multiple of 65,9145 with GCF Formula

Least Common Multiple of 65,9145 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 65,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,9145) = 5

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

GCF(65,9145) x common factors =5 x 1 = 5

LCM(65,9145) = ( 65 × 9145 ) / 5

LCM(65,9145) = 594425 / 5

LCM(65,9145) = 118885


Lets's calculate GCF of 317,1211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118885/1

Therefore the LCM of Fractions 65/317,9145/1211 is 118885

Greatest Common Factor of 317,1211 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,1211 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 1211

List of positive integer factors of 1211 that divides 1211 without a remainder.

1,7,173,1211

Greatest Common Factor

We found the factors 317,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 317,1211 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 65/317, 9145/1211

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 65/317, 9145/1211?

Answer: LCM of Numerators as per given numbers 65/317, 9145/1211 is

LCM of Numerators i.e. for 65,9145 is 118885

GCF of denominators i.e. for 317,1211 is 1.

Thus, LCM of Fractions is 118885.Finally, LCM of Fractions for 65/317, 9145/1211 is 118885.