Given numbers are 860,816,820,428

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

The LCM of 860,816,820,428 is 769655280.

Find LCM of 860,816,820,428 with Prime Factorization

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

2 x 2 x 5 x 43 x 204 x 41 x 107 = 769655280

Therefore, the lowest common multiple of 860,816,820,428 is 769655280.

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.

860 x 816 x 820 x 428 = 246289689600

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

428 : 1, 2, 4, 107, 214, 428

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,816,820,428, is 4.

Now, the common factors can be found like this.

860:2x 2x 5x 43

816:2x 2x 2x 2x 3x 17

820:2x 2x 5x 41

428:2x 2x 107

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 5 = 80

Therefore, the value for common factors is 80.

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 = 246289689600/(4x80)

LCM = 246289689600/320

LCM = 769655280

Thus, we can understand that the LCM of 860,816,820,428 is 769655280.

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

• LCM of 947, 302, 870, 877
• LCM of 610, 122, 331, 843
• LCM of 841, 859, 983, 929
• LCM of 802, 705, 280, 784
• LCM of 208, 665, 910, 209

1. What is the LCM of 860, 816, 820, 428?

Answer: LCM of 860, 816, 820, 428 is 769655280.

2. How to calculate the LCM of 860, 816, 820, 428?

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 860, 816, 820, 428.

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}.