Given numbers are 409,369,420,146

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

The LCM of 409,369,420,146 is 1542412620.

Find LCM of 409,369,420,146 with Prime Factorization

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

2 x 3 x 409 x 123 x 70 x 73 = 1542412620

Therefore, the lowest common multiple of 409,369,420,146 is 1542412620.

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.

409 x 369 x 420 x 146 = 9254475720

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.

409 : 1, 409

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,369,420,146, is 1.

Now, the common factors can be found like this.

409:409

369:3x 3x 41

420:2x 2x 3x 5x 7

146:2x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9254475720/(1x6)

LCM = 9254475720/6

LCM = 1542412620

Thus, we can understand that the LCM of 409,369,420,146 is 1542412620.

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

• LCM of 997, 217, 463, 687
• LCM of 245, 345, 705, 760
• LCM of 311, 702, 309, 829
• LCM of 355, 866, 904, 944
• LCM of 850, 812, 989, 851

1. What is the LCM of 409, 369, 420, 146?

Answer: LCM of 409, 369, 420, 146 is 1542412620.

2. How to calculate the LCM of 409, 369, 420, 146?

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 409, 369, 420, 146.

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}.