Given numbers are 820,639,780,107,478

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

The LCM of 820,639,780,107,478 is 174196627020.

Find LCM of 820,639,780,107,478 with Prime Factorization

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

2 x 2 x 3 x 5 x 41 x 213 x 13 x 107 x 239 = 174196627020

Therefore, the lowest common multiple of 820,639,780,107,478 is 174196627020.

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 639 x 780 x 107 x 478 = 20903595242400

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

639 : 1, 3, 9, 71, 213, 639

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

107 : 1, 107

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,639,780,107,478, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

639:3x 3x 71

780:2x 2x 3x 5x 13

107:107

478:2x 239

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 20903595242400/(1x120)

LCM = 20903595242400/120

LCM = 174196627020

Thus, we can understand that the LCM of 820,639,780,107,478 is 174196627020.

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

• LCM of 830, 934, 499, 580, 738
• LCM of 655, 735, 163, 870, 271
• LCM of 779, 900, 610, 691, 889
• LCM of 619, 567, 565, 482, 984
• LCM of 583, 171, 425, 552, 914

1. What is the LCM of 820, 639, 780, 107, 478?

Answer: LCM of 820, 639, 780, 107, 478 is 174196627020.

2. How to calculate the LCM of 820, 639, 780, 107, 478?

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, 639, 780, 107, 478.

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}.