Least Common Multiple of 7445/513, 1725/6272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7445/513, 1725/6272 quickly i.e. 2568525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7445/513, 1725/6272 is 2568525.

LCM(7445/513, 1725/6272) = 2568525

LCM of 7445/513, 1725/6272

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 7445/513,1725/6272

Given numbers are 7445/513,1725/6272

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 7445,1725

Least Common Multiple of Numerators i.e. LCM of 7445,1725 is 2568525.

GCF of Denominators means GCF of 513,6272 as per the given fractions.

GCF of 513,6272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7445,1725

LCM of Fractions 7445/513,1725/6272 is 2568525

5 7445, 1725
1489, 345

∴ So the LCM of the given numbers is 5 x 1489 x 345 = 2568525

Least Common Multiple of 7445,1725 with GCF Formula

Least Common Multiple of 7445,1725 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 7445,1725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7445,1725) = 5

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

GCF(7445,1725) x common factors =5 x 1 = 5

LCM(7445,1725) = ( 7445 × 1725 ) / 5

LCM(7445,1725) = 12842625 / 5

LCM(7445,1725) = 2568525


Lets's calculate GCF of 513,6272

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2568525/1

Therefore the LCM of Fractions 7445/513,1725/6272 is 2568525

Greatest Common Factor of 513,6272 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,6272 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272

Greatest Common Factor

We found the factors 513,6272 . The biggest common factor number is the GCF number.
So the greatest common factor 513,6272 is 1.


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 7445/513, 1725/6272

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 7445/513, 1725/6272?

Answer: LCM of Numerators as per given numbers 7445/513, 1725/6272 is

LCM of Numerators i.e. for 7445,1725 is 2568525

GCF of denominators i.e. for 513,6272 is 1.

Thus, LCM of Fractions is 2568525.Finally, LCM of Fractions for 7445/513, 1725/6272 is 2568525.