Least Common Multiple of 2576/221, 3136/3625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2576/221, 3136/3625 quickly i.e. 72128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2576/221, 3136/3625 is 72128.

LCM(2576/221, 3136/3625) = 72128

LCM of 2576/221, 3136/3625

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 2576/221,3136/3625

Given numbers are 2576/221,3136/3625

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 2576,3136

Least Common Multiple of Numerators i.e. LCM of 2576,3136 is 72128.

GCF of Denominators means GCF of 221,3625 as per the given fractions.

GCF of 221,3625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2576,3136

LCM of Fractions 2576/221,3136/3625 is 72128

2 2576, 3136
2 1288, 1568
2 644, 784
2 322, 392
7 161, 196
23, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 23 x 28 = 72128

Least Common Multiple of 2576,3136 with GCF Formula

Least Common Multiple of 2576,3136 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 2576,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2576,3136) = 112

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

GCF(2576,3136) x common factors =112 x 1 = 112

LCM(2576,3136) = ( 2576 × 3136 ) / 112

LCM(2576,3136) = 8078336 / 112

LCM(2576,3136) = 72128


Lets's calculate GCF of 221,3625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72128/1

Therefore the LCM of Fractions 2576/221,3136/3625 is 72128

Greatest Common Factor of 221,3625 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,3625 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1,5,25,29,125,145,725,3625

Greatest Common Factor

We found the factors 221,3625 . The biggest common factor number is the GCF number.
So the greatest common factor 221,3625 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 2576/221, 3136/3625

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 2576/221, 3136/3625?

Answer: LCM of Numerators as per given numbers 2576/221, 3136/3625 is

LCM of Numerators i.e. for 2576,3136 is 72128

GCF of denominators i.e. for 221,3625 is 1.

Thus, LCM of Fractions is 72128.Finally, LCM of Fractions for 2576/221, 3136/3625 is 72128.