Given numbers are 31,31,31,61,359

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

The LCM of 31,31,31,61,359 is 678869.

Find LCM of 31,31,31,61,359 with Prime Factorization

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

31 x 1 x 1 x 1 x 61 x 359 = 678869

Therefore, the lowest common multiple of 31,31,31,61,359 is 678869.

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.

31 x 31 x 31 x 61 x 359 = 652393109

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.

31 : 1, 31

31 : 1, 31

31 : 1, 31

61 : 1, 61

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 31,31,31,61,359, is 1.

Now, the common factors can be found like this.

31:31

31:31

31:31

61:61

359:359

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

31x 31 = 961

Therefore, the value for common factors is 961.

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 = 652393109/(1x961)

LCM = 652393109/961

LCM = 678869

Thus, we can understand that the LCM of 31,31,31,61,359 is 678869.

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

• LCM of 27, 46, 91, 86, 935
• LCM of 94, 29, 82, 80, 108
• LCM of 95, 59, 79, 36, 917
• LCM of 11, 74, 11, 82, 321
• LCM of 75, 44, 43, 59, 802

1. What is the LCM of 31, 31, 31, 61, 359?

Answer: LCM of 31, 31, 31, 61, 359 is 678869.

2. How to calculate the LCM of 31, 31, 31, 61, 359?

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 31, 31, 31, 61, 359.

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}.