Least Common Multiple of 6547/315, 5437/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6547/315, 5437/475 quickly i.e. 35596039/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6547/315, 5437/475 is 35596039/5.

LCM(6547/315, 5437/475) = 35596039/5

LCM of 6547/315, 5437/475

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 6547/315,5437/475

Given numbers are 6547/315,5437/475

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 6547,5437

Least Common Multiple of Numerators i.e. LCM of 6547,5437 is 35596039.

GCF of Denominators means GCF of 315,475 as per the given fractions.

GCF of 315,475 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6547,5437

LCM of Fractions 6547/315,5437/475 is 35596039/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 35596039

Least Common Multiple of 6547,5437 with GCF Formula

Least Common Multiple of 6547,5437 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 6547,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6547,5437) = 1

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

GCF(6547,5437) x common factors =1 x 1 = 1

LCM(6547,5437) = ( 6547 × 5437 ) / 1

LCM(6547,5437) = 35596039 / 1

LCM(6547,5437) = 35596039


Lets's calculate GCF of 315,475

5 315, 475
63, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35596039/5

Therefore the LCM of Fractions 6547/315,5437/475 is 35596039/5

Greatest Common Factor of 315,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,475 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 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 315,475 . The biggest common factor number is the GCF number.
So the greatest common factor 315,475 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 6547/315, 5437/475

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 6547/315, 5437/475?

Answer: LCM of Numerators as per given numbers 6547/315, 5437/475 is

LCM of Numerators i.e. for 6547,5437 is 35596039

GCF of denominators i.e. for 315,475 is 5.

Thus, LCM of Fractions is 35596039/5.Finally, LCM of Fractions for 6547/315, 5437/475 is 35596039/5.