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LCM of 302, 401, 802, 487

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


Find the LCM of 302, 401, 802, 487 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, 401, 802, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,401,802,487

Given numbers are 302,401,802,487

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

The LCM of 302,401,802,487 is 58976674.

Find LCM of 302,401,802,487 with Prime Factorization


2 302, 401, 802, 487
401 151, 401, 401, 487
151, 1, 1, 487

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

2 x 401 x 151 x 1 x 1 x 487 = 58976674

Therefore, the lowest common multiple of 302,401,802,487 is 58976674.

LCM Formula to Find Lowest Common Multiple of 302,401,802,487

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 401 x 802 x 487 = 47299292548

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

401 : 1, 401

802 : 1, 2, 401, 802

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,401,802,487, is 1.

Now, the common factors can be found like this.

302:2x 151

401:401

802:2x 401

487:487

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

2x 401 = 802

Therefore, the value for common factors is 802.

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 = 47299292548/(1x802)

LCM = 47299292548/802

LCM = 58976674

Thus, we can understand that the LCM of 302,401,802,487 is 58976674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 401, 802, 487

1. What is the LCM of 302, 401, 802, 487?

Answer: LCM of 302, 401, 802, 487 is 58976674.

2. How to calculate the LCM of 302, 401, 802, 487?

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, 401, 802, 487.

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}.