What are the Factors of 9737472 ?

Factors of 9737472 are . There are integers that are factors of 9737472.

How to Find the LCM of 496, 818, 768, 384 ?

Least Common Multiple of 496, 818, 768, 384 = 9737472 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(496, 818, 768, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 409 = 9737472.

What are the Factors of 9737472 ?

Factors of 9737472 are . There are integers that are factors of 9737472.

How to Find the LCM of 496, 818, 768, 384 ?

Least Common Multiple of 496, 818, 768, 384 = 9737472 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(496, 818, 768, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 409 = 9737472.

LCM of 496, 818, 768, 384

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

Find the LCM of 496, 818, 768, 384 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 496, 818, 768, 384. So, keep reading to learn more.

Calculate the LCM of 496,818,768,384

Given numbers are 496,818,768,384

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

The LCM of 496,818,768,384 is 9737472.

Find LCM of 496,818,768,384 with Prime Factorization

2	496, 818, 768, 384
2	248, 409, 384, 192
2	124, 409, 96, 192
2	62, 409, 48, 96
2	31, 409, 24, 48
2	31, 409, 12, 24
2	31, 409, 6, 12
3	31, 409, 3, 6
	31, 409, 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 31 x 409 x 1 x 2 = 9737472

Therefore, the lowest common multiple of 496,818,768,384 is 9737472.

LCM Formula to Find Lowest Common Multiple of 496,818,768,384

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.

496 x 818 x 768 x 384 = 119654055936

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

818 : 1, 2, 409, 818

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,818,768,384, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

818:2x 409

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

384:2x 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 2x 2x 2x 2x 3 = 6144

Therefore, the value for common factors is 6144.

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 = 119654055936/(2x6144)

LCM = 119654055936/12288

LCM = 9737472

Thus, we can understand that the LCM of 496,818,768,384 is 9737472.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 496, 818, 768, 384

1. What is the LCM of 496, 818, 768, 384?

Answer: LCM of 496, 818, 768, 384 is 9737472.

2. How to calculate the LCM of 496, 818, 768, 384?

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 496, 818, 768, 384.

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}.