Given numbers are 369,364,401,172

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

The LCM of 369,364,401,172 is 2316010788.

Find LCM of 369,364,401,172 with Prime Factorization

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

2 x 2 x 369 x 91 x 401 x 43 = 2316010788

Therefore, the lowest common multiple of 369,364,401,172 is 2316010788.

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.

369 x 364 x 401 x 172 = 9264043152

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.

369 : 1, 3, 9, 41, 123, 369

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

401 : 1, 401

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,364,401,172, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

364:2x 2x 7x 13

401:401

172:2x 2x 43

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 = 9264043152/(1x4)

LCM = 9264043152/4

LCM = 2316010788

Thus, we can understand that the LCM of 369,364,401,172 is 2316010788.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 735, 431, 697, 786
• LCM of 633, 380, 270, 955
• LCM of 867, 359, 665, 115
• LCM of 488, 110, 161, 443
• LCM of 281, 549, 561, 808

1. What is the LCM of 369, 364, 401, 172?

Answer: LCM of 369, 364, 401, 172 is 2316010788.

2. How to calculate the LCM of 369, 364, 401, 172?

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 369, 364, 401, 172.

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}.