Given numbers are 912,984,948,416

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

The LCM of 912,984,948,416 is 76803168.

Find LCM of 912,984,948,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 41 x 79 x 26 = 76803168

Therefore, the lowest common multiple of 912,984,948,416 is 76803168.

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.

912 x 984 x 948 x 416 = 353908998144

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,984,948,416, is 4.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

984:2x 2x 2x 3x 41

948:2x 2x 3x 79

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 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 = 353908998144/(4x1152)

LCM = 353908998144/4608

LCM = 76803168

Thus, we can understand that the LCM of 912,984,948,416 is 76803168.

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

• LCM of 978, 864, 179, 813
• LCM of 175, 397, 295, 360
• LCM of 700, 507, 429, 870
• LCM of 252, 353, 416, 614
• LCM of 397, 689, 612, 568

1. What is the LCM of 912, 984, 948, 416?

Answer: LCM of 912, 984, 948, 416 is 76803168.

2. How to calculate the LCM of 912, 984, 948, 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 912, 984, 948, 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}.