Least Common Multiple of 7615/900, 7325/4376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7615/900, 7325/4376 quickly i.e. 11155975/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7615/900, 7325/4376 is 11155975/4.

LCM(7615/900, 7325/4376) = 11155975/4

LCM of 7615/900, 7325/4376

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 7615/900,7325/4376

Given numbers are 7615/900,7325/4376

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 7615,7325

Least Common Multiple of Numerators i.e. LCM of 7615,7325 is 11155975.

GCF of Denominators means GCF of 900,4376 as per the given fractions.

GCF of 900,4376 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7615,7325

LCM of Fractions 7615/900,7325/4376 is 11155975/4

5 7615, 7325
1523, 1465

∴ So the LCM of the given numbers is 5 x 1523 x 1465 = 11155975

Least Common Multiple of 7615,7325 with GCF Formula

Least Common Multiple of 7615,7325 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 7615,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7615,7325) = 5

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

GCF(7615,7325) x common factors =5 x 1 = 5

LCM(7615,7325) = ( 7615 × 7325 ) / 5

LCM(7615,7325) = 55779875 / 5

LCM(7615,7325) = 11155975


Lets's calculate GCF of 900,4376

2 900, 4376
2 450, 2188
225, 1094

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11155975/4

Therefore the LCM of Fractions 7615/900,7325/4376 is 11155975/4

Greatest Common Factor of 900,4376 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,4376 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 4376

List of positive integer factors of 4376 that divides 4376 without a remainder.

1,2,4,8,547,1094,2188,4376

Greatest Common Factor

We found the factors 900,4376 . The biggest common factor number is the GCF number.
So the greatest common factor 900,4376 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 7615/900, 7325/4376

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 7615/900, 7325/4376?

Answer: LCM of Numerators as per given numbers 7615/900, 7325/4376 is

LCM of Numerators i.e. for 7615,7325 is 11155975

GCF of denominators i.e. for 900,4376 is 4.

Thus, LCM of Fractions is 11155975/4.Finally, LCM of Fractions for 7615/900, 7325/4376 is 11155975/4.