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LCM of 364, 802, 401, 692

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


Find the LCM of 364, 802, 401, 692 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 364, 802, 401, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,802,401,692

Given numbers are 364,802,401,692

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

The LCM of 364,802,401,692 is 25251772.

Find LCM of 364,802,401,692 with Prime Factorization


2 364, 802, 401, 692
2 182, 401, 401, 346
401 91, 401, 401, 173
91, 1, 1, 173

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

2 x 2 x 401 x 91 x 1 x 1 x 173 = 25251772

Therefore, the lowest common multiple of 364,802,401,692 is 25251772.

LCM Formula to Find Lowest Common Multiple of 364,802,401,692

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.

364 x 802 x 401 x 692 = 81007684576

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

802 : 1, 2, 401, 802

401 : 1, 401

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,802,401,692, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

802:2x 401

401:401

692:2x 2x 173

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

2x 2x 2x 401 = 3208

Therefore, the value for common factors is 3208.

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 = 81007684576/(1x3208)

LCM = 81007684576/3208

LCM = 25251772

Thus, we can understand that the LCM of 364,802,401,692 is 25251772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 802, 401, 692

1. What is the LCM of 364, 802, 401, 692?

Answer: LCM of 364, 802, 401, 692 is 25251772.

2. How to calculate the LCM of 364, 802, 401, 692?

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 364, 802, 401, 692.

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}.