Given numbers are 829,996,957,677,743

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

The LCM of 829,996,957,677,743 is 132489674913156.

Find LCM of 829,996,957,677,743 with Prime Factorization

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

3 x 829 x 332 x 319 x 677 x 743 = 132489674913156

Therefore, the lowest common multiple of 829,996,957,677,743 is 132489674913156.

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.

829 x 996 x 957 x 677 x 743 = 397469024739468

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.

829 : 1, 829

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

957 : 1, 3, 11, 29, 33, 87, 319, 957

677 : 1, 677

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,996,957,677,743, is 1.

Now, the common factors can be found like this.

829:829

996:2x 2x 3x 83

957:3x 11x 29

677:677

743:743

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

3 = 3

Therefore, the value for common factors is 3.

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 = 397469024739468/(1x3)

LCM = 397469024739468/3

LCM = 132489674913156

Thus, we can understand that the LCM of 829,996,957,677,743 is 132489674913156.

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

• LCM of 463, 790, 990, 931, 895
• LCM of 133, 810, 357, 228, 839
• LCM of 117, 700, 783, 352, 650
• LCM of 960, 262, 651, 629, 573
• LCM of 188, 499, 391, 988, 779

1. What is the LCM of 829, 996, 957, 677, 743?

Answer: LCM of 829, 996, 957, 677, 743 is 132489674913156.

2. How to calculate the LCM of 829, 996, 957, 677, 743?

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 829, 996, 957, 677, 743.

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}.