Given numbers are 432,922,170,624,348

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

The LCM of 432,922,170,624,348 is 6381825840.

Find LCM of 432,922,170,624,348 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 9 x 461 x 85 x 13 x 29 = 6381825840

Therefore, the lowest common multiple of 432,922,170,624,348 is 6381825840.

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.

432 x 922 x 170 x 624 x 348 = 14703726735360

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

922 : 1, 2, 461, 922

170 : 1, 2, 5, 10, 17, 34, 85, 170

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,922,170,624,348, is 2.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

922:2x 461

170:2x 5x 17

624:2x 2x 2x 2x 3x 13

348:2x 2x 3x 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 2x 2x 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 14703726735360/(2x1152)

LCM = 14703726735360/2304

LCM = 6381825840

Thus, we can understand that the LCM of 432,922,170,624,348 is 6381825840.

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

• LCM of 957, 443, 624, 270, 912
• LCM of 690, 435, 196, 397, 888
• LCM of 871, 959, 234, 595, 461
• LCM of 404, 300, 286, 128, 587
• LCM of 167, 376, 395, 569, 763

1. What is the LCM of 432, 922, 170, 624, 348?

Answer: LCM of 432, 922, 170, 624, 348 is 6381825840.

2. How to calculate the LCM of 432, 922, 170, 624, 348?

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 432, 922, 170, 624, 348.

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}.