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LCM of 463, 403, 680, 822

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


Find the LCM of 463, 403, 680, 822 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 463, 403, 680, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,403,680,822

Given numbers are 463,403,680,822

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

The LCM of 463,403,680,822 is 52147893720.

Find LCM of 463,403,680,822 with Prime Factorization


2 463, 403, 680, 822
463, 403, 340, 411

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

2 x 463 x 403 x 340 x 411 = 52147893720

Therefore, the lowest common multiple of 463,403,680,822 is 52147893720.

LCM Formula to Find Lowest Common Multiple of 463,403,680,822

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.

463 x 403 x 680 x 822 = 104295787440

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.

463 : 1, 463

403 : 1, 13, 31, 403

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,403,680,822, is 1.

Now, the common factors can be found like this.

463:463

403:13x 31

680:2x 2x 2x 5x 17

822:2x 3x 137

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

2 = 2

Therefore, the value for common factors is 2.

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 = 104295787440/(1x2)

LCM = 104295787440/2

LCM = 52147893720

Thus, we can understand that the LCM of 463,403,680,822 is 52147893720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 403, 680, 822

1. What is the LCM of 463, 403, 680, 822?

Answer: LCM of 463, 403, 680, 822 is 52147893720.

2. How to calculate the LCM of 463, 403, 680, 822?

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 463, 403, 680, 822.

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}.