Least Common Multiple of 7475/315, 1395/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7475/315, 1395/507 quickly i.e. 695175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7475/315, 1395/507 is 695175.

LCM(7475/315, 1395/507) = 695175

LCM of 7475/315, 1395/507

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 7475/315,1395/507

Given numbers are 7475/315,1395/507

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 7475,1395

Least Common Multiple of Numerators i.e. LCM of 7475,1395 is 2085525.

GCF of Denominators means GCF of 315,507 as per the given fractions.

GCF of 315,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7475,1395

LCM of Fractions 7475/315,1395/507 is 695175

5 7475, 1395
1495, 279

∴ So the LCM of the given numbers is 5 x 1495 x 279 = 2085525

Least Common Multiple of 7475,1395 with GCF Formula

Least Common Multiple of 7475,1395 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 7475,1395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7475,1395) = 5

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

GCF(7475,1395) x common factors =5 x 1 = 5

LCM(7475,1395) = ( 7475 × 1395 ) / 5

LCM(7475,1395) = 10427625 / 5

LCM(7475,1395) = 2085525


Lets's calculate GCF of 315,507

3 315, 507
105, 169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2085525/3

Therefore the LCM of Fractions 7475/315,1395/507 is 695175

Greatest Common Factor of 315,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,507 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 315,507 . The biggest common factor number is the GCF number.
So the greatest common factor 315,507 is 3.


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 7475/315, 1395/507

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 7475/315, 1395/507?

Answer: LCM of Numerators as per given numbers 7475/315, 1395/507 is

LCM of Numerators i.e. for 7475,1395 is 2085525

GCF of denominators i.e. for 315,507 is 3.

Thus, LCM of Fractions is 695175.Finally, LCM of Fractions for 7475/315, 1395/507 is 695175.