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LCM of 518, 493, 907, 629

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


Find the LCM of 518, 493, 907, 629 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 518, 493, 907, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,493,907,629

Given numbers are 518,493,907,629

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

The LCM of 518,493,907,629 is 231624218.

Find LCM of 518,493,907,629 with Prime Factorization


17 518, 493, 907, 629
37 518, 29, 907, 37
14, 29, 907, 1

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

17 x 37 x 14 x 29 x 907 x 1 = 231624218

Therefore, the lowest common multiple of 518,493,907,629 is 231624218.

LCM Formula to Find Lowest Common Multiple of 518,493,907,629

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.

518 x 493 x 907 x 629 = 145691633122

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

493 : 1, 17, 29, 493

907 : 1, 907

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,493,907,629, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

493:17x 29

907:907

629:17x 37

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

17x 37 = 629

Therefore, the value for common factors is 629.

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 = 145691633122/(1x629)

LCM = 145691633122/629

LCM = 231624218

Thus, we can understand that the LCM of 518,493,907,629 is 231624218.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 493, 907, 629

1. What is the LCM of 518, 493, 907, 629?

Answer: LCM of 518, 493, 907, 629 is 231624218.

2. How to calculate the LCM of 518, 493, 907, 629?

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 518, 493, 907, 629.

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}.