Given numbers are 825,645,748,943,713

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

The LCM of 825,645,748,943,713 is 70518765900.

Find LCM of 825,645,748,943,713 with Prime Factorization

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

3 x 5 x 11 x 23 x 5 x 43 x 68 x 41 x 31 = 70518765900

Therefore, the lowest common multiple of 825,645,748,943,713 is 70518765900.

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.

825 x 645 x 748 x 943 x 713 = 267618716590500

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

645 : 1, 3, 5, 15, 43, 129, 215, 645

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

943 : 1, 23, 41, 943

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,645,748,943,713, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

645:3x 5x 43

748:2x 2x 11x 17

943:23x 41

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.

3x 5x 11x 23 = 3795

Therefore, the value for common factors is 3795.

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 = 267618716590500/(1x3795)

LCM = 267618716590500/3795

LCM = 70518765900

Thus, we can understand that the LCM of 825,645,748,943,713 is 70518765900.

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

• LCM of 959, 293, 466, 365, 204
• LCM of 223, 576, 448, 357, 610
• LCM of 682, 308, 691, 813, 208
• LCM of 808, 398, 864, 807, 804
• LCM of 377, 907, 270, 599, 581

1. What is the LCM of 825, 645, 748, 943, 713?

Answer: LCM of 825, 645, 748, 943, 713 is 70518765900.

2. How to calculate the LCM of 825, 645, 748, 943, 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 825, 645, 748, 943, 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}.