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LCM of 518, 361, 361, 107

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


Find the LCM of 518, 361, 361, 107 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, 361, 361, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,361,361,107

Given numbers are 518,361,361,107

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

The LCM of 518,361,361,107 is 20008786.

Find LCM of 518,361,361,107 with Prime Factorization


19 518, 361, 361, 107
19 518, 19, 19, 107
518, 1, 1, 107

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

19 x 19 x 518 x 1 x 1 x 107 = 20008786

Therefore, the lowest common multiple of 518,361,361,107 is 20008786.

LCM Formula to Find Lowest Common Multiple of 518,361,361,107

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 361 x 361 x 107 = 7223171746

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

361 : 1, 19, 361

361 : 1, 19, 361

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,361,361,107, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

361:19x 19

361:19x 19

107:107

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 7223171746/(1x361)

LCM = 7223171746/361

LCM = 20008786

Thus, we can understand that the LCM of 518,361,361,107 is 20008786.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 361, 361, 107

1. What is the LCM of 518, 361, 361, 107?

Answer: LCM of 518, 361, 361, 107 is 20008786.

2. How to calculate the LCM of 518, 361, 361, 107?

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, 361, 361, 107.

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}.