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LCM of 442, 851, 563, 563

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


Find the LCM of 442, 851, 563, 563 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 442, 851, 563, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,851,563,563

Given numbers are 442,851,563,563

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

The LCM of 442,851,563,563 is 211767946.

Find LCM of 442,851,563,563 with Prime Factorization


563 442, 851, 563, 563
442, 851, 1, 1

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

563 x 442 x 851 x 1 x 1 = 211767946

Therefore, the lowest common multiple of 442,851,563,563 is 211767946.

LCM Formula to Find Lowest Common Multiple of 442,851,563,563

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.

442 x 851 x 563 x 563 = 119225353598

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

851 : 1, 23, 37, 851

563 : 1, 563

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,851,563,563, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

851:23x 37

563:563

563:563

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

563 = 563

Therefore, the value for common factors is 563.

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 = 119225353598/(1x563)

LCM = 119225353598/563

LCM = 211767946

Thus, we can understand that the LCM of 442,851,563,563 is 211767946.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 851, 563, 563

1. What is the LCM of 442, 851, 563, 563?

Answer: LCM of 442, 851, 563, 563 is 211767946.

2. How to calculate the LCM of 442, 851, 563, 563?

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 442, 851, 563, 563.

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}.