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LCM of 49, 22, 58, 99, 517

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


Find the LCM of 49, 22, 58, 99, 517 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 49, 22, 58, 99, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 49,22,58,99,517

Given numbers are 49,22,58,99,517

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

The LCM of 49,22,58,99,517 is 13223826.

Find LCM of 49,22,58,99,517 with Prime Factorization


2 49, 22, 58, 99, 517
11 49, 11, 29, 99, 517
49, 1, 29, 9, 47

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

2 x 11 x 49 x 1 x 29 x 9 x 47 = 13223826

Therefore, the lowest common multiple of 49,22,58,99,517 is 13223826.

LCM Formula to Find Lowest Common Multiple of 49,22,58,99,517

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.

49 x 22 x 58 x 99 x 517 = 3200165892

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.

49 : 1, 7, 49

22 : 1, 2, 11, 22

58 : 1, 2, 29, 58

99 : 1, 3, 9, 11, 33, 99

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 49,22,58,99,517, is 1.

Now, the common factors can be found like this.

49:7x 7

22:2x 11

58:2x 29

99:3x 3x 11

517:11x 47

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 3200165892/(1x242)

LCM = 3200165892/242

LCM = 13223826

Thus, we can understand that the LCM of 49,22,58,99,517 is 13223826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 49, 22, 58, 99, 517

1. What is the LCM of 49, 22, 58, 99, 517?

Answer: LCM of 49, 22, 58, 99, 517 is 13223826.

2. How to calculate the LCM of 49, 22, 58, 99, 517?

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 49, 22, 58, 99, 517.

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}.