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LCM of 744, 900, 272, 325

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 744, 900, 272, 325 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 744, 900, 272, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 744,900,272,325

Given numbers are 744,900,272,325

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 744,900,272,325 is 24663600.

Find LCM of 744,900,272,325 with Prime Factorization


2 744, 900, 272, 325
2 372, 450, 136, 325
2 186, 225, 68, 325
3 93, 225, 34, 325
5 31, 75, 34, 325
5 31, 15, 34, 65
31, 3, 34, 13

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 5 x 5 x 31 x 3 x 34 x 13 = 24663600

Therefore, the lowest common multiple of 744,900,272,325 is 24663600.

LCM Formula to Find Lowest Common Multiple of 744,900,272,325

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

744 x 900 x 272 x 325 = 59192640000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

900 : 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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,900,272,325, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

900:2x 2x 3x 3x 5x 5

272:2x 2x 2x 2x 17

325:5x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 59192640000/(1x2400)

LCM = 59192640000/2400

LCM = 24663600

Thus, we can understand that the LCM of 744,900,272,325 is 24663600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 744, 900, 272, 325

1. What is the LCM of 744, 900, 272, 325?

Answer: LCM of 744, 900, 272, 325 is 24663600.

2. How to calculate the LCM of 744, 900, 272, 325?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 744, 900, 272, 325.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.