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LCM of 518, 707, 136, 115

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


Find the LCM of 518, 707, 136, 115 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, 707, 136, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,707,136,115

Given numbers are 518,707,136,115

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

The LCM of 518,707,136,115 is 409126760.

Find LCM of 518,707,136,115 with Prime Factorization


2 518, 707, 136, 115
7 259, 707, 68, 115
37, 101, 68, 115

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

2 x 7 x 37 x 101 x 68 x 115 = 409126760

Therefore, the lowest common multiple of 518,707,136,115 is 409126760.

LCM Formula to Find Lowest Common Multiple of 518,707,136,115

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 707 x 136 x 115 = 5727774640

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

707 : 1, 7, 101, 707

136 : 1, 2, 4, 8, 17, 34, 68, 136

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,707,136,115, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

707:7x 101

136:2x 2x 2x 17

115:5x 23

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 5727774640/(1x14)

LCM = 5727774640/14

LCM = 409126760

Thus, we can understand that the LCM of 518,707,136,115 is 409126760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 707, 136, 115

1. What is the LCM of 518, 707, 136, 115?

Answer: LCM of 518, 707, 136, 115 is 409126760.

2. How to calculate the LCM of 518, 707, 136, 115?

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, 707, 136, 115.

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}.