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LCM of 601, 793, 518, 406

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


Find the LCM of 601, 793, 518, 406 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 601, 793, 518, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,793,518,406

Given numbers are 601,793,518,406

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

The LCM of 601,793,518,406 is 7159380046.

Find LCM of 601,793,518,406 with Prime Factorization


2 601, 793, 518, 406
7 601, 793, 259, 203
601, 793, 37, 29

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

2 x 7 x 601 x 793 x 37 x 29 = 7159380046

Therefore, the lowest common multiple of 601,793,518,406 is 7159380046.

LCM Formula to Find Lowest Common Multiple of 601,793,518,406

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.

601 x 793 x 518 x 406 = 100231320644

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.

601 : 1, 601

793 : 1, 13, 61, 793

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,793,518,406, is 1.

Now, the common factors can be found like this.

601:601

793:13x 61

518:2x 7x 37

406:2x 7x 29

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 = 100231320644/(1x14)

LCM = 100231320644/14

LCM = 7159380046

Thus, we can understand that the LCM of 601,793,518,406 is 7159380046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 793, 518, 406

1. What is the LCM of 601, 793, 518, 406?

Answer: LCM of 601, 793, 518, 406 is 7159380046.

2. How to calculate the LCM of 601, 793, 518, 406?

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 601, 793, 518, 406.

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}.