Given numbers are 708,814,396,924

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

The LCM of 708,814,396,924 is 6051276.

Find LCM of 708,814,396,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 59 x 37 x 3 x 7 = 6051276

Therefore, the lowest common multiple of 708,814,396,924 is 6051276.

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.

708 x 814 x 396 x 924 = 210874866048

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

814 : 1, 2, 11, 22, 37, 74, 407, 814

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,814,396,924, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

814:2x 11x 37

396:2x 2x 3x 3x 11

924:2x 2x 3x 7x 11

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 3x 3x 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 210874866048/(2x17424)

LCM = 210874866048/34848

LCM = 6051276

Thus, we can understand that the LCM of 708,814,396,924 is 6051276.

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

• LCM of 528, 880, 541, 207
• LCM of 115, 749, 584, 280
• LCM of 458, 787, 249, 517
• LCM of 712, 208, 547, 235
• LCM of 126, 344, 796, 311

1. What is the LCM of 708, 814, 396, 924?

Answer: LCM of 708, 814, 396, 924 is 6051276.

2. How to calculate the LCM of 708, 814, 396, 924?

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 708, 814, 396, 924.

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}.