Given numbers are 516,470,814,829

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

The LCM of 516,470,814,829 is 40913487780.

Find LCM of 516,470,814,829 with Prime Factorization

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

2 x 258 x 235 x 407 x 829 = 40913487780

Therefore, the lowest common multiple of 516,470,814,829 is 40913487780.

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.

516 x 470 x 814 x 829 = 163653951120

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

470 : 1, 2, 5, 10, 47, 94, 235, 470

814 : 1, 2, 11, 22, 37, 74, 407, 814

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,470,814,829, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

470:2x 5x 47

814:2x 11x 37

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 = 163653951120/(1x4)

LCM = 163653951120/4

LCM = 40913487780

Thus, we can understand that the LCM of 516,470,814,829 is 40913487780.

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

• LCM of 428, 334, 493, 980
• LCM of 983, 730, 846, 193
• LCM of 181, 938, 834, 269
• LCM of 661, 403, 943, 285
• LCM of 282, 332, 812, 232

1. What is the LCM of 516, 470, 814, 829?

Answer: LCM of 516, 470, 814, 829 is 40913487780.

2. How to calculate the LCM of 516, 470, 814, 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 516, 470, 814, 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}.