Given numbers are 417,402,112,374

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

The LCM of 417,402,112,374 is 585154416.

Find LCM of 417,402,112,374 with Prime Factorization

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

2 x 3 x 139 x 67 x 56 x 187 = 585154416

Therefore, the lowest common multiple of 417,402,112,374 is 585154416.

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.

417 x 402 x 112 x 374 = 7021852992

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.

417 : 1, 3, 139, 417

402 : 1, 2, 3, 6, 67, 134, 201, 402

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,402,112,374, is 1.

Now, the common factors can be found like this.

417:3x 139

402:2x 3x 67

112:2x 2x 2x 2x 7

374:2x 11x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7021852992/(1x12)

LCM = 7021852992/12

LCM = 585154416

Thus, we can understand that the LCM of 417,402,112,374 is 585154416.

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

• LCM of 356, 528, 927, 807
• LCM of 618, 165, 644, 112
• LCM of 465, 781, 179, 835
• LCM of 376, 436, 180, 453
• LCM of 557, 147, 241, 633

1. What is the LCM of 417, 402, 112, 374?

Answer: LCM of 417, 402, 112, 374 is 585154416.

2. How to calculate the LCM of 417, 402, 112, 374?

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 417, 402, 112, 374.

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}.