Given numbers are 407,780,558,142,506

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

The LCM of 407,780,558,142,506 is 48212332740.

Find LCM of 407,780,558,142,506 with Prime Factorization

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

2 x 3 x 11 x 37 x 130 x 93 x 71 x 23 = 48212332740

Therefore, the lowest common multiple of 407,780,558,142,506 is 48212332740.

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.

407 x 780 x 558 x 142 x 506 = 12728055843360

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.

407 : 1, 11, 37, 407

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

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

142 : 1, 2, 71, 142

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,780,558,142,506, is 1.

Now, the common factors can be found like this.

407:11x 37

780:2x 2x 3x 5x 13

558:2x 3x 3x 31

142:2x 71

506:2x 11x 23

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 11 = 264

Therefore, the value for common factors is 264.

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 = 12728055843360/(1x264)

LCM = 12728055843360/264

LCM = 48212332740

Thus, we can understand that the LCM of 407,780,558,142,506 is 48212332740.

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

• LCM of 416, 726, 309, 749, 355
• LCM of 649, 362, 152, 506, 659
• LCM of 374, 566, 103, 959, 167
• LCM of 435, 610, 979, 174, 740
• LCM of 408, 923, 593, 809, 155

1. What is the LCM of 407, 780, 558, 142, 506?

Answer: LCM of 407, 780, 558, 142, 506 is 48212332740.

2. How to calculate the LCM of 407, 780, 558, 142, 506?

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 407, 780, 558, 142, 506.

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}.