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LCM of 578, 783, 518, 601

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


Find the LCM of 578, 783, 518, 601 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 578, 783, 518, 601. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,783,518,601

Given numbers are 578,783,518,601

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

The LCM of 578,783,518,601 is 70447216266.

Find LCM of 578,783,518,601 with Prime Factorization


2 578, 783, 518, 601
289, 783, 259, 601

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

2 x 289 x 783 x 259 x 601 = 70447216266

Therefore, the lowest common multiple of 578,783,518,601 is 70447216266.

LCM Formula to Find Lowest Common Multiple of 578,783,518,601

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.

578 x 783 x 518 x 601 = 140894432532

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.

578 : 1, 2, 17, 34, 289, 578

783 : 1, 3, 9, 27, 29, 87, 261, 783

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

601 : 1, 601

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,783,518,601, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

783:3x 3x 3x 29

518:2x 7x 37

601:601

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

2 = 2

Therefore, the value for common factors is 2.

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 = 140894432532/(1x2)

LCM = 140894432532/2

LCM = 70447216266

Thus, we can understand that the LCM of 578,783,518,601 is 70447216266.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 783, 518, 601

1. What is the LCM of 578, 783, 518, 601?

Answer: LCM of 578, 783, 518, 601 is 70447216266.

2. How to calculate the LCM of 578, 783, 518, 601?

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 578, 783, 518, 601.

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}.