Given numbers are 214,478,416,800,920

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

The LCM of 214,478,416,800,920 is 6117061600.

Find LCM of 214,478,416,800,920 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 107 x 239 x 13 x 5 x 23 = 6117061600

Therefore, the lowest common multiple of 214,478,416,800,920 is 6117061600.

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.

214 x 478 x 416 x 800 x 920 = 31319355392000

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.

214 : 1, 2, 107, 214

478 : 1, 2, 239, 478

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,478,416,800,920, is 2.

Now, the common factors can be found like this.

214:2x 107

478:2x 239

416:2x 2x 2x 2x 2x 13

800:2x 2x 2x 2x 2x 5x 5

920:2x 2x 2x 5x 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 2x 2x 2x 2x 2x 5 = 2560

Therefore, the value for common factors is 2560.

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 = 31319355392000/(2x2560)

LCM = 31319355392000/5120

LCM = 6117061600

Thus, we can understand that the LCM of 214,478,416,800,920 is 6117061600.

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

• LCM of 876, 531, 378, 475, 826
• LCM of 907, 358, 208, 633, 875
• LCM of 567, 787, 158, 372, 736
• LCM of 659, 235, 765, 681, 984
• LCM of 862, 101, 185, 785, 841

1. What is the LCM of 214, 478, 416, 800, 920?

Answer: LCM of 214, 478, 416, 800, 920 is 6117061600.

2. How to calculate the LCM of 214, 478, 416, 800, 920?

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 214, 478, 416, 800, 920.

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}.