Least Common Multiple of 313/11, 145/6655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/11, 145/6655 quickly i.e. 45385/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/11, 145/6655 is 45385/11.

LCM(313/11, 145/6655) = 45385/11

LCM of 313/11, 145/6655

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 313/11,145/6655

Given numbers are 313/11,145/6655

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 313,145

Least Common Multiple of Numerators i.e. LCM of 313,145 is 45385.

GCF of Denominators means GCF of 11,6655 as per the given fractions.

GCF of 11,6655 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,145

LCM of Fractions 313/11,145/6655 is 45385/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 45385

Least Common Multiple of 313,145 with GCF Formula

Least Common Multiple of 313,145 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 313,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,145) = 1

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

GCF(313,145) x common factors =1 x 1 = 1

LCM(313,145) = ( 313 × 145 ) / 1

LCM(313,145) = 45385 / 1

LCM(313,145) = 45385


Lets's calculate GCF of 11,6655

11 11, 6655
1, 605

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45385/11

Therefore the LCM of Fractions 313/11,145/6655 is 45385/11

Greatest Common Factor of 11,6655 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,6655 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 6655

List of positive integer factors of 6655 that divides 6655 without a remainder.

1,5,11,55,121,605,1331,6655

Greatest Common Factor

We found the factors 11,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 11,6655 is 11.


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 313/11, 145/6655

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 313/11, 145/6655?

Answer: LCM of Numerators as per given numbers 313/11, 145/6655 is

LCM of Numerators i.e. for 313,145 is 45385

GCF of denominators i.e. for 11,6655 is 11.

Thus, LCM of Fractions is 45385/11.Finally, LCM of Fractions for 313/11, 145/6655 is 45385/11.