Given numbers are 706,910,414,408

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

The LCM of 706,910,414,408 is 4521633480.

Find LCM of 706,910,414,408 with Prime Factorization

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

2 x 3 x 353 x 455 x 69 x 68 = 4521633480

Therefore, the lowest common multiple of 706,910,414,408 is 4521633480.

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.

706 x 910 x 414 x 408 = 108519203520

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.

706 : 1, 2, 353, 706

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,910,414,408, is 2.

Now, the common factors can be found like this.

706:2x 353

910:2x 5x 7x 13

414:2x 3x 3x 23

408:2x 2x 2x 3x 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 = 108519203520/(2x12)

LCM = 108519203520/24

LCM = 4521633480

Thus, we can understand that the LCM of 706,910,414,408 is 4521633480.

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

• LCM of 902, 513, 644, 556
• LCM of 842, 577, 830, 756
• LCM of 592, 784, 703, 963
• LCM of 984, 943, 666, 988
• LCM of 223, 765, 601, 609

1. What is the LCM of 706, 910, 414, 408?

Answer: LCM of 706, 910, 414, 408 is 4521633480.

2. How to calculate the LCM of 706, 910, 414, 408?

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 706, 910, 414, 408.

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}.