Given numbers are 413,682,696,430,829

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

The LCM of 413,682,696,430,829 is 17470553349480.

Find LCM of 413,682,696,430,829 with Prime Factorization

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

2 x 413 x 341 x 348 x 215 x 829 = 17470553349480

Therefore, the lowest common multiple of 413,682,696,430,829 is 17470553349480.

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.

413 x 682 x 696 x 430 x 829 = 69882213397920

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.

413 : 1, 7, 59, 413

682 : 1, 2, 11, 22, 31, 62, 341, 682

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

430 : 1, 2, 5, 10, 43, 86, 215, 430

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,682,696,430,829, is 1.

Now, the common factors can be found like this.

413:7x 59

682:2x 11x 31

696:2x 2x 2x 3x 29

430:2x 5x 43

829:829

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 69882213397920/(1x4)

LCM = 69882213397920/4

LCM = 17470553349480

Thus, we can understand that the LCM of 413,682,696,430,829 is 17470553349480.

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

• LCM of 366, 699, 121, 597, 307
• LCM of 245, 244, 752, 970, 828
• LCM of 334, 752, 380, 948, 986
• LCM of 138, 930, 876, 385, 797
• LCM of 423, 295, 362, 926, 467

1. What is the LCM of 413, 682, 696, 430, 829?

Answer: LCM of 413, 682, 696, 430, 829 is 17470553349480.

2. How to calculate the LCM of 413, 682, 696, 430, 829?

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 413, 682, 696, 430, 829.

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}.