Given numbers are 466,720,116,217

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

The LCM of 466,720,116,217 is 1055713680.

Find LCM of 466,720,116,217 with Prime Factorization

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

2 x 2 x 233 x 180 x 29 x 217 = 1055713680

Therefore, the lowest common multiple of 466,720,116,217 is 1055713680.

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.

466 x 720 x 116 x 217 = 8445709440

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.

466 : 1, 2, 233, 466

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

116 : 1, 2, 4, 29, 58, 116

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,720,116,217, is 1.

Now, the common factors can be found like this.

466:2x 233

720:2x 2x 2x 2x 3x 3x 5

116:2x 2x 29

217:7x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 8445709440/(1x8)

LCM = 8445709440/8

LCM = 1055713680

Thus, we can understand that the LCM of 466,720,116,217 is 1055713680.

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

• LCM of 990, 894, 394, 554
• LCM of 563, 932, 636, 335
• LCM of 633, 478, 831, 102
• LCM of 823, 369, 798, 700
• LCM of 531, 406, 646, 322

1. What is the LCM of 466, 720, 116, 217?

Answer: LCM of 466, 720, 116, 217 is 1055713680.

2. How to calculate the LCM of 466, 720, 116, 217?

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 466, 720, 116, 217.

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}.