Given numbers are 782,832,414,471

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

The LCM of 782,832,414,471 is 459665856.

Find LCM of 782,832,414,471 with Prime Factorization

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

2 x 3 x 23 x 17 x 416 x 3 x 157 = 459665856

Therefore, the lowest common multiple of 782,832,414,471 is 459665856.

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.

782 x 832 x 414 x 471 = 126867776256

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,832,414,471, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

832:2x 2x 2x 2x 2x 2x 13

414:2x 3x 3x 23

471:3x 157

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 126867776256/(1x276)

LCM = 126867776256/276

LCM = 459665856

Thus, we can understand that the LCM of 782,832,414,471 is 459665856.

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

• LCM of 559, 544, 561, 217
• LCM of 218, 897, 308, 976
• LCM of 100, 665, 948, 688
• LCM of 432, 966, 355, 267
• LCM of 164, 774, 437, 189

1. What is the LCM of 782, 832, 414, 471?

Answer: LCM of 782, 832, 414, 471 is 459665856.

2. How to calculate the LCM of 782, 832, 414, 471?

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 782, 832, 414, 471.

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}.