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LCM of 103, 268, 407, 518

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


Find the LCM of 103, 268, 407, 518 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 103, 268, 407, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,268,407,518

Given numbers are 103,268,407,518

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

The LCM of 103,268,407,518 is 78643796.

Find LCM of 103,268,407,518 with Prime Factorization


2 103, 268, 407, 518
37 103, 134, 407, 259
103, 134, 11, 7

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

2 x 37 x 103 x 134 x 11 x 7 = 78643796

Therefore, the lowest common multiple of 103,268,407,518 is 78643796.

LCM Formula to Find Lowest Common Multiple of 103,268,407,518

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.

103 x 268 x 407 x 518 = 5819640904

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.

103 : 1, 103

268 : 1, 2, 4, 67, 134, 268

407 : 1, 11, 37, 407

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,268,407,518, is 1.

Now, the common factors can be found like this.

103:103

268:2x 2x 67

407:11x 37

518:2x 7x 37

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 5819640904/(1x74)

LCM = 5819640904/74

LCM = 78643796

Thus, we can understand that the LCM of 103,268,407,518 is 78643796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 268, 407, 518

1. What is the LCM of 103, 268, 407, 518?

Answer: LCM of 103, 268, 407, 518 is 78643796.

2. How to calculate the LCM of 103, 268, 407, 518?

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 103, 268, 407, 518.

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}.