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LCM of 462, 520, 240, 966, 783

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


Find the LCM of 462, 520, 240, 966, 783 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 462, 520, 240, 966, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,520,240,966,783

Given numbers are 462,520,240,966,783

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

The LCM of 462,520,240,966,783 is 1442160720.

Find LCM of 462,520,240,966,783 with Prime Factorization


2 462, 520, 240, 966, 783
2 231, 260, 120, 483, 783
2 231, 130, 60, 483, 783
3 231, 65, 30, 483, 783
5 77, 65, 10, 161, 261
7 77, 13, 2, 161, 261
11, 13, 2, 23, 261

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

2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 2 x 23 x 261 = 1442160720

Therefore, the lowest common multiple of 462,520,240,966,783 is 1442160720.

LCM Formula to Find Lowest Common Multiple of 462,520,240,966,783

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.

462 x 520 x 240 x 966 x 783 = 43610940172800

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,520,240,966,783, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

520:2x 2x 2x 5x 13

240:2x 2x 2x 2x 3x 5

966:2x 3x 7x 23

783:3x 3x 3x 29

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 3x 3x 5x 7 = 30240

Therefore, the value for common factors is 30240.

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 = 43610940172800/(1x30240)

LCM = 43610940172800/30240

LCM = 1442160720

Thus, we can understand that the LCM of 462,520,240,966,783 is 1442160720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 520, 240, 966, 783

1. What is the LCM of 462, 520, 240, 966, 783?

Answer: LCM of 462, 520, 240, 966, 783 is 1442160720.

2. How to calculate the LCM of 462, 520, 240, 966, 783?

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 462, 520, 240, 966, 783.

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}.