Given numbers are 432,755,829,724,708

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

The LCM of 432,755,829,724,708 is 2887458928560.

Find LCM of 432,755,829,724,708 with Prime Factorization

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

2 x 2 x 3 x 36 x 755 x 829 x 181 x 59 = 2887458928560

Therefore, the lowest common multiple of 432,755,829,724,708 is 2887458928560.

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.

432 x 755 x 829 x 724 x 708 = 138598028570880

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

755 : 1, 5, 151, 755

829 : 1, 829

724 : 1, 2, 4, 181, 362, 724

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,755,829,724,708, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

755:5x 151

829:829

724:2x 2x 181

708:2x 2x 3x 59

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 3 = 48

Therefore, the value for common factors is 48.

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 = 138598028570880/(1x48)

LCM = 138598028570880/48

LCM = 2887458928560

Thus, we can understand that the LCM of 432,755,829,724,708 is 2887458928560.

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

• LCM of 881, 941, 886, 103, 683
• LCM of 871, 778, 246, 526, 520
• LCM of 677, 299, 773, 907, 769
• LCM of 217, 370, 890, 713, 150
• LCM of 117, 420, 300, 112, 325

1. What is the LCM of 432, 755, 829, 724, 708?

Answer: LCM of 432, 755, 829, 724, 708 is 2887458928560.

2. How to calculate the LCM of 432, 755, 829, 724, 708?

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 432, 755, 829, 724, 708.

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}.