Given numbers are 356,936,692,984,708

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

The LCM of 356,936,692,984,708 is 34861641048.

Find LCM of 356,936,692,984,708 with Prime Factorization

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

2 x 2 x 2 x 3 x 89 x 39 x 173 x 41 x 59 = 34861641048

Therefore, the lowest common multiple of 356,936,692,984,708 is 34861641048.

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.

356 x 936 x 692 x 984 x 708 = 160642441949184

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.

356 : 1, 2, 4, 89, 178, 356

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

692 : 1, 2, 4, 173, 346, 692

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

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,936,692,984,708, is 4.

Now, the common factors can be found like this.

356:2x 2x 89

936:2x 2x 2x 3x 3x 13

692:2x 2x 173

984:2x 2x 2x 3x 41

708:2x 2x 3x 59

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 = 160642441949184/(4x1152)

LCM = 160642441949184/4608

LCM = 34861641048

Thus, we can understand that the LCM of 356,936,692,984,708 is 34861641048.

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

• LCM of 985, 646, 610, 486, 980
• LCM of 774, 715, 156, 195, 124
• LCM of 308, 352, 185, 501, 308
• LCM of 274, 755, 141, 189, 540
• LCM of 410, 308, 876, 223, 837

1. What is the LCM of 356, 936, 692, 984, 708?

Answer: LCM of 356, 936, 692, 984, 708 is 34861641048.

2. How to calculate the LCM of 356, 936, 692, 984, 708?

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 356, 936, 692, 984, 708.

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}.