Least Common Multiple of 64/260, 4507/6272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/260, 4507/6272 quickly i.e. 72112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/260, 4507/6272 is 72112.

LCM(64/260, 4507/6272) = 72112

LCM of 64/260, 4507/6272

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 64/260,4507/6272

Given numbers are 64/260,4507/6272

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 64,4507

Least Common Multiple of Numerators i.e. LCM of 64,4507 is 288448.

GCF of Denominators means GCF of 260,6272 as per the given fractions.

GCF of 260,6272 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,4507

LCM of Fractions 64/260,4507/6272 is 72112

Given numbers has no common factors except 1. So, there LCM is their product i.e 288448

Least Common Multiple of 64,4507 with GCF Formula

Least Common Multiple of 64,4507 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 64,4507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,4507) = 1

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

GCF(64,4507) x common factors =1 x 1 = 1

LCM(64,4507) = ( 64 × 4507 ) / 1

LCM(64,4507) = 288448 / 1

LCM(64,4507) = 288448


Lets's calculate GCF of 260,6272

2 260, 6272
2 130, 3136
65, 1568

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288448/4

Therefore the LCM of Fractions 64/260,4507/6272 is 72112

Greatest Common Factor of 260,6272 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,6272 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

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 260,6272 . The biggest common factor number is the GCF number.
So the greatest common factor 260,6272 is 4.


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 64/260, 4507/6272

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 64/260, 4507/6272?

Answer: LCM of Numerators as per given numbers 64/260, 4507/6272 is

LCM of Numerators i.e. for 64,4507 is 288448

GCF of denominators i.e. for 260,6272 is 4.

Thus, LCM of Fractions is 72112.Finally, LCM of Fractions for 64/260, 4507/6272 is 72112.