Least Common Multiple of 309/105, 1037/6495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/105, 1037/6495 quickly i.e. 320433/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/105, 1037/6495 is 320433/15.

LCM(309/105, 1037/6495) = 320433/15

LCM of 309/105, 1037/6495

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 309/105,1037/6495

Given numbers are 309/105,1037/6495

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 309,1037

Least Common Multiple of Numerators i.e. LCM of 309,1037 is 320433.

GCF of Denominators means GCF of 105,6495 as per the given fractions.

GCF of 105,6495 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,1037

LCM of Fractions 309/105,1037/6495 is 320433/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 320433

Least Common Multiple of 309,1037 with GCF Formula

Least Common Multiple of 309,1037 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 309,1037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,1037) = 1

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

GCF(309,1037) x common factors =1 x 1 = 1

LCM(309,1037) = ( 309 × 1037 ) / 1

LCM(309,1037) = 320433 / 1

LCM(309,1037) = 320433


Lets's calculate GCF of 105,6495

3 105, 6495
5 35, 2165
7, 433

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320433/15

Therefore the LCM of Fractions 309/105,1037/6495 is 320433/15

Greatest Common Factor of 105,6495 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,6495 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1,3,5,15,433,1299,2165,6495

Greatest Common Factor

We found the factors 105,6495 . The biggest common factor number is the GCF number.
So the greatest common factor 105,6495 is 15.


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 309/105, 1037/6495

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 309/105, 1037/6495?

Answer: LCM of Numerators as per given numbers 309/105, 1037/6495 is

LCM of Numerators i.e. for 309,1037 is 320433

GCF of denominators i.e. for 105,6495 is 15.

Thus, LCM of Fractions is 320433/15.Finally, LCM of Fractions for 309/105, 1037/6495 is 320433/15.