Least Common Multiple of 69/745, 4515/6315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/745, 4515/6315 quickly i.e. 20769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/745, 4515/6315 is 20769.

LCM(69/745, 4515/6315) = 20769

LCM of 69/745, 4515/6315

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 69/745,4515/6315

Given numbers are 69/745,4515/6315

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 69,4515

Least Common Multiple of Numerators i.e. LCM of 69,4515 is 103845.

GCF of Denominators means GCF of 745,6315 as per the given fractions.

GCF of 745,6315 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,4515

LCM of Fractions 69/745,4515/6315 is 20769

3 69, 4515
23, 1505

∴ So the LCM of the given numbers is 3 x 23 x 1505 = 103845

Least Common Multiple of 69,4515 with GCF Formula

Least Common Multiple of 69,4515 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 69,4515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,4515) = 3

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

GCF(69,4515) x common factors =3 x 1 = 3

LCM(69,4515) = ( 69 × 4515 ) / 3

LCM(69,4515) = 311535 / 3

LCM(69,4515) = 103845


Lets's calculate GCF of 745,6315

5 745, 6315
149, 1263

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103845/5

Therefore the LCM of Fractions 69/745,4515/6315 is 20769

Greatest Common Factor of 745,6315 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,6315 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 6315

List of positive integer factors of 6315 that divides 6315 without a remainder.

1,3,5,15,421,1263,2105,6315

Greatest Common Factor

We found the factors 745,6315 . The biggest common factor number is the GCF number.
So the greatest common factor 745,6315 is 5.


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 69/745, 4515/6315

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 69/745, 4515/6315?

Answer: LCM of Numerators as per given numbers 69/745, 4515/6315 is

LCM of Numerators i.e. for 69,4515 is 103845

GCF of denominators i.e. for 745,6315 is 5.

Thus, LCM of Fractions is 20769.Finally, LCM of Fractions for 69/745, 4515/6315 is 20769.