Given numbers are 782,369,688,713

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

The LCM of 782,369,688,713 is 3077182512.

Find LCM of 782,369,688,713 with Prime Factorization

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

2 x 23 x 17 x 369 x 344 x 31 = 3077182512

Therefore, the lowest common multiple of 782,369,688,713 is 3077182512.

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 369 x 688 x 713 = 141550395552

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

369 : 1, 3, 9, 41, 123, 369

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,369,688,713, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

369:3x 3x 41

688:2x 2x 2x 2x 43

713:23x 31

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 141550395552/(1x46)

LCM = 141550395552/46

LCM = 3077182512

Thus, we can understand that the LCM of 782,369,688,713 is 3077182512.

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

• LCM of 898, 438, 731, 199
• LCM of 989, 322, 799, 252
• LCM of 128, 622, 969, 301
• LCM of 609, 307, 999, 485
• LCM of 796, 334, 449, 902

1. What is the LCM of 782, 369, 688, 713?

Answer: LCM of 782, 369, 688, 713 is 3077182512.

2. How to calculate the LCM of 782, 369, 688, 713?

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, 369, 688, 713.

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}.