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LCM of 462, 303, 609, 343, 756

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


Find the LCM of 462, 303, 609, 343, 756 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, 303, 609, 343, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,303,609,343,756

Given numbers are 462,303,609,343,756

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

The LCM of 462,303,609,343,756 is 1193520636.

Find LCM of 462,303,609,343,756 with Prime Factorization


2 462, 303, 609, 343, 756
3 231, 303, 609, 343, 378
7 77, 101, 203, 343, 126
11, 101, 29, 49, 18

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

2 x 3 x 7 x 11 x 101 x 29 x 49 x 18 = 1193520636

Therefore, the lowest common multiple of 462,303,609,343,756 is 1193520636.

LCM Formula to Find Lowest Common Multiple of 462,303,609,343,756

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 303 x 609 x 343 x 756 = 22106389219992

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

303 : 1, 3, 101, 303

609 : 1, 3, 7, 21, 29, 87, 203, 609

343 : 1, 7, 49, 343

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,303,609,343,756, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

303:3x 101

609:3x 7x 29

343:7x 7x 7

756:2x 2x 3x 3x 3x 7

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

2x 3x 3x 3x 7x 7x 7 = 18522

Therefore, the value for common factors is 18522.

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 = 22106389219992/(1x18522)

LCM = 22106389219992/18522

LCM = 1193520636

Thus, we can understand that the LCM of 462,303,609,343,756 is 1193520636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 303, 609, 343, 756

1. What is the LCM of 462, 303, 609, 343, 756?

Answer: LCM of 462, 303, 609, 343, 756 is 1193520636.

2. How to calculate the LCM of 462, 303, 609, 343, 756?

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, 303, 609, 343, 756.

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}.