Given numbers are 235,884,156,412,974

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

The LCM of 235,884,156,412,974 is 31261338420.

Find LCM of 235,884,156,412,974 with Prime Factorization

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

2 x 2 x 13 x 235 x 17 x 3 x 103 x 487 = 31261338420

Therefore, the lowest common multiple of 235,884,156,412,974 is 31261338420.

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.

235 x 884 x 156 x 412 x 974 = 13004716782720

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.

235 : 1, 5, 47, 235

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

412 : 1, 2, 4, 103, 206, 412

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,884,156,412,974, is 1.

Now, the common factors can be found like this.

235:5x 47

884:2x 2x 13x 17

156:2x 2x 3x 13

412:2x 2x 103

974:2x 487

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 13 = 416

Therefore, the value for common factors is 416.

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 = 13004716782720/(1x416)

LCM = 13004716782720/416

LCM = 31261338420

Thus, we can understand that the LCM of 235,884,156,412,974 is 31261338420.

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

• LCM of 432, 464, 510, 913, 746
• LCM of 760, 389, 731, 166, 325
• LCM of 757, 553, 565, 509, 913
• LCM of 803, 369, 112, 176, 464
• LCM of 650, 463, 362, 247, 907

1. What is the LCM of 235, 884, 156, 412, 974?

Answer: LCM of 235, 884, 156, 412, 974 is 31261338420.

2. How to calculate the LCM of 235, 884, 156, 412, 974?

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 235, 884, 156, 412, 974.

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}.