Given numbers are 832,183,212,416

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

The LCM of 832,183,212,416 is 8069568.

Find LCM of 832,183,212,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 13 x 1 x 183 x 53 x 2 = 8069568

Therefore, the lowest common multiple of 832,183,212,416 is 8069568.

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.

832 x 183 x 212 x 416 = 13427761152

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

183 : 1, 3, 61, 183

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,183,212,416, is 1.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

183:3x 61

212:2x 2x 53

416:2x 2x 2x 2x 2x 13

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 13 = 1664

Therefore, the value for common factors is 1664.

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 = 13427761152/(1x1664)

LCM = 13427761152/1664

LCM = 8069568

Thus, we can understand that the LCM of 832,183,212,416 is 8069568.

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

• LCM of 414, 190, 894, 544
• LCM of 223, 122, 871, 798
• LCM of 463, 164, 978, 269
• LCM of 761, 563, 968, 317
• LCM of 110, 883, 578, 913

1. What is the LCM of 832, 183, 212, 416?

Answer: LCM of 832, 183, 212, 416 is 8069568.

2. How to calculate the LCM of 832, 183, 212, 416?

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 832, 183, 212, 416.

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}.