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LCM of 916, 440, 563, 829

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


Find the LCM of 916, 440, 563, 829 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 916, 440, 563, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,440,563,829

Given numbers are 916,440,563,829

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

The LCM of 916,440,563,829 is 47027412520.

Find LCM of 916,440,563,829 with Prime Factorization


2 916, 440, 563, 829
2 458, 220, 563, 829
229, 110, 563, 829

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

2 x 2 x 229 x 110 x 563 x 829 = 47027412520

Therefore, the lowest common multiple of 916,440,563,829 is 47027412520.

LCM Formula to Find Lowest Common Multiple of 916,440,563,829

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.

916 x 440 x 563 x 829 = 188109650080

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.

916 : 1, 2, 4, 229, 458, 916

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

563 : 1, 563

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,440,563,829, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

440:2x 2x 2x 5x 11

563:563

829:829

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 188109650080/(1x4)

LCM = 188109650080/4

LCM = 47027412520

Thus, we can understand that the LCM of 916,440,563,829 is 47027412520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 440, 563, 829

1. What is the LCM of 916, 440, 563, 829?

Answer: LCM of 916, 440, 563, 829 is 47027412520.

2. How to calculate the LCM of 916, 440, 563, 829?

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 916, 440, 563, 829.

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}.