Given numbers are 820,171,943,623,779

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

The LCM of 820,171,943,623,779 is 2009212380.

Find LCM of 820,171,943,623,779 with Prime Factorization

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

19 x 41 x 20 x 9 x 23 x 623 x 1 = 2009212380

Therefore, the lowest common multiple of 820,171,943,623,779 is 2009212380.

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.

820 x 171 x 943 x 623 x 779 = 64172234204820

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.

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

171 : 1, 3, 9, 19, 57, 171

943 : 1, 23, 41, 943

623 : 1, 7, 89, 623

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,171,943,623,779, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

171:3x 3x 19

943:23x 41

623:7x 89

779:19x 41

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

19x 41x 41 = 31939

Therefore, the value for common factors is 31939.

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 = 64172234204820/(1x31939)

LCM = 64172234204820/31939

LCM = 2009212380

Thus, we can understand that the LCM of 820,171,943,623,779 is 2009212380.

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

• LCM of 364, 718, 402, 999, 110
• LCM of 711, 514, 131, 192, 607
• LCM of 543, 216, 741, 308, 610
• LCM of 553, 517, 963, 646, 884
• LCM of 566, 760, 277, 970, 674

1. What is the LCM of 820, 171, 943, 623, 779?

Answer: LCM of 820, 171, 943, 623, 779 is 2009212380.

2. How to calculate the LCM of 820, 171, 943, 623, 779?

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 820, 171, 943, 623, 779.

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}.