What are the Factors of 73217280 ?

Factors of 73217280 are . There are integers that are factors of 73217280.

How to Find the LCM of 345, 384, 768, 829 ?

Least Common Multiple of 345, 384, 768, 829 = 73217280 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(345, 384, 768, 829) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 829 = 73217280.

What are the Factors of 73217280 ?

Factors of 73217280 are . There are integers that are factors of 73217280.

How to Find the LCM of 345, 384, 768, 829 ?

Least Common Multiple of 345, 384, 768, 829 = 73217280 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(345, 384, 768, 829) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 829 = 73217280.

LCM of 345, 384, 768, 829

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

Find the LCM of 345, 384, 768, 829 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 345, 384, 768, 829. So, keep reading to learn more.

Calculate the LCM of 345,384,768,829

Given numbers are 345,384,768,829

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

The LCM of 345,384,768,829 is 73217280.

Find LCM of 345,384,768,829 with Prime Factorization

2	345, 384, 768, 829
2	345, 192, 384, 829
2	345, 96, 192, 829
2	345, 48, 96, 829
2	345, 24, 48, 829
2	345, 12, 24, 829
2	345, 6, 12, 829
3	345, 3, 6, 829
	115, 1, 2, 829

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 115 x 1 x 2 x 829 = 73217280

Therefore, the lowest common multiple of 345,384,768,829 is 73217280.

LCM Formula to Find Lowest Common Multiple of 345,384,768,829

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.

345 x 384 x 768 x 829 = 84346306560

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,384,768,829, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

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

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

829:829

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 = 84346306560/(1x1152)

LCM = 84346306560/1152

LCM = 73217280

Thus, we can understand that the LCM of 345,384,768,829 is 73217280.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 345, 384, 768, 829

1. What is the LCM of 345, 384, 768, 829?

Answer: LCM of 345, 384, 768, 829 is 73217280.

2. How to calculate the LCM of 345, 384, 768, 829?

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 345, 384, 768, 829.

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}.