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LCM of 302, 578, 298, 766

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


Find the LCM of 302, 578, 298, 766 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 302, 578, 298, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,578,298,766

Given numbers are 302,578,298,766

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

The LCM of 302,578,298,766 is 4980693626.

Find LCM of 302,578,298,766 with Prime Factorization


2 302, 578, 298, 766
151, 289, 149, 383

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

2 x 151 x 289 x 149 x 383 = 4980693626

Therefore, the lowest common multiple of 302,578,298,766 is 4980693626.

LCM Formula to Find Lowest Common Multiple of 302,578,298,766

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.

302 x 578 x 298 x 766 = 39845549008

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.

302 : 1, 2, 151, 302

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

298 : 1, 2, 149, 298

766 : 1, 2, 383, 766

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,578,298,766, is 2.

Now, the common factors can be found like this.

302:2x 151

578:2x 17x 17

298:2x 149

766:2x 383

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39845549008/(2x4)

LCM = 39845549008/8

LCM = 4980693626

Thus, we can understand that the LCM of 302,578,298,766 is 4980693626.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 578, 298, 766

1. What is the LCM of 302, 578, 298, 766?

Answer: LCM of 302, 578, 298, 766 is 4980693626.

2. How to calculate the LCM of 302, 578, 298, 766?

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 302, 578, 298, 766.

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}.