Given numbers are 100,450,780,746,506

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

The LCM of 100,450,780,746,506 is 1104117300.

Find LCM of 100,450,780,746,506 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 1 x 3 x 13 x 373 x 253 = 1104117300

Therefore, the lowest common multiple of 100,450,780,746,506 is 1104117300.

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.

100 x 450 x 780 x 746 x 506 = 13249407600000

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

746 : 1, 2, 373, 746

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,450,780,746,506, is 2.

Now, the common factors can be found like this.

100:2x 2x 5x 5

450:2x 3x 3x 5x 5

780:2x 2x 3x 5x 13

746:2x 373

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 2x 3x 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 13249407600000/(2x6000)

LCM = 13249407600000/12000

LCM = 1104117300

Thus, we can understand that the LCM of 100,450,780,746,506 is 1104117300.

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

• LCM of 185, 612, 677, 402, 205
• LCM of 477, 257, 970, 523, 579
• LCM of 495, 913, 480, 716, 712
• LCM of 320, 856, 476, 756, 277
• LCM of 465, 512, 293, 899, 812

1. What is the LCM of 100, 450, 780, 746, 506?

Answer: LCM of 100, 450, 780, 746, 506 is 1104117300.

2. How to calculate the LCM of 100, 450, 780, 746, 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 100, 450, 780, 746, 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}.