Given numbers are 695,700,208,408

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

The LCM of 695,700,208,408 is 258039600.

Find LCM of 695,700,208,408 with Prime Factorization

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

2 x 2 x 2 x 5 x 139 x 35 x 26 x 51 = 258039600

Therefore, the lowest common multiple of 695,700,208,408 is 258039600.

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.

695 x 700 x 208 x 408 = 41286336000

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.

695 : 1, 5, 139, 695

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,700,208,408, is 1.

Now, the common factors can be found like this.

695:5x 139

700:2x 2x 5x 5x 7

208:2x 2x 2x 2x 13

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 41286336000/(1x160)

LCM = 41286336000/160

LCM = 258039600

Thus, we can understand that the LCM of 695,700,208,408 is 258039600.

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

• LCM of 258, 459, 587, 724
• LCM of 591, 905, 774, 739
• LCM of 664, 393, 923, 793
• LCM of 305, 339, 505, 568
• LCM of 906, 402, 249, 965

1. What is the LCM of 695, 700, 208, 408?

Answer: LCM of 695, 700, 208, 408 is 258039600.

2. How to calculate the LCM of 695, 700, 208, 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 695, 700, 208, 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}.