Given numbers are 409,578,102,424

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

The LCM of 409,578,102,424 is 150351672.

Find LCM of 409,578,102,424 with Prime Factorization

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

2 x 17 x 409 x 17 x 3 x 212 = 150351672

Therefore, the lowest common multiple of 409,578,102,424 is 150351672.

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 578 x 102 x 424 = 10223913696

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

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,578,102,424, is 1.

Now, the common factors can be found like this.

409:409

578:2x 17x 17

102:2x 3x 17

424:2x 2x 2x 53

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 17 = 68

Therefore, the value for common factors is 68.

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 = 10223913696/(1x68)

LCM = 10223913696/68

LCM = 150351672

Thus, we can understand that the LCM of 409,578,102,424 is 150351672.

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

• LCM of 304, 355, 464, 510
• LCM of 228, 847, 415, 174
• LCM of 584, 878, 334, 120
• LCM of 863, 936, 274, 391
• LCM of 819, 526, 209, 881

1. What is the LCM of 409, 578, 102, 424?

Answer: LCM of 409, 578, 102, 424 is 150351672.

2. How to calculate the LCM of 409, 578, 102, 424?

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, 578, 102, 424.

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}.