What are the Factors of 7545600 ?

Factors of 7545600 are . There are integers that are factors of 7545600.

How to Find the LCM of 225, 131, 384, 768 ?

Least Common Multiple of 225, 131, 384, 768 = 7545600 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(225, 131, 384, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 131 = 7545600.

What are the Factors of 7545600 ?

Factors of 7545600 are . There are integers that are factors of 7545600.

How to Find the LCM of 225, 131, 384, 768 ?

Least Common Multiple of 225, 131, 384, 768 = 7545600 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(225, 131, 384, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 131 = 7545600.

LCM of 225, 131, 384, 768

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

Find the LCM of 225, 131, 384, 768 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 225, 131, 384, 768. So, keep reading to learn more.

Calculate the LCM of 225,131,384,768

Given numbers are 225,131,384,768

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

The LCM of 225,131,384,768 is 7545600.

Find LCM of 225,131,384,768 with Prime Factorization

2	225, 131, 384, 768
2	225, 131, 192, 384
2	225, 131, 96, 192
2	225, 131, 48, 96
2	225, 131, 24, 48
2	225, 131, 12, 24
2	225, 131, 6, 12
3	225, 131, 3, 6
	75, 131, 1, 2

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 75 x 131 x 1 x 2 = 7545600

Therefore, the lowest common multiple of 225,131,384,768 is 7545600.

LCM Formula to Find Lowest Common Multiple of 225,131,384,768

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.

225 x 131 x 384 x 768 = 8692531200

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

131 : 1, 131

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,131,384,768, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

131:131

384:2x 2x 2x 2x 2x 2x 2x 3

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 8692531200/(1x1152)

LCM = 8692531200/1152

LCM = 7545600

Thus, we can understand that the LCM of 225,131,384,768 is 7545600.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 225, 131, 384, 768

1. What is the LCM of 225, 131, 384, 768?

Answer: LCM of 225, 131, 384, 768 is 7545600.

2. How to calculate the LCM of 225, 131, 384, 768?

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 225, 131, 384, 768.

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}.