Given numbers are 357,305,974,406

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

The LCM of 357,305,974,406 is 3075565710.

Find LCM of 357,305,974,406 with Prime Factorization

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

2 x 7 x 51 x 305 x 487 x 29 = 3075565710

Therefore, the lowest common multiple of 357,305,974,406 is 3075565710.

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.

357 x 305 x 974 x 406 = 43057919940

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

305 : 1, 5, 61, 305

974 : 1, 2, 487, 974

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,305,974,406, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

305:5x 61

974:2x 487

406:2x 7x 29

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 43057919940/(1x14)

LCM = 43057919940/14

LCM = 3075565710

Thus, we can understand that the LCM of 357,305,974,406 is 3075565710.

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

• LCM of 157, 457, 878, 209
• LCM of 603, 877, 408, 891
• LCM of 113, 728, 359, 764
• LCM of 399, 941, 846, 644
• LCM of 254, 862, 458, 345

1. What is the LCM of 357, 305, 974, 406?

Answer: LCM of 357, 305, 974, 406 is 3075565710.

2. How to calculate the LCM of 357, 305, 974, 406?

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 357, 305, 974, 406.

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}.