Given numbers are 440,308,860,214

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

The LCM of 440,308,860,214 is 14171080.

Find LCM of 440,308,860,214 with Prime Factorization

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

2 x 2 x 5 x 11 x 2 x 7 x 43 x 107 = 14171080

Therefore, the lowest common multiple of 440,308,860,214 is 14171080.

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.

440 x 308 x 860 x 214 = 24941100800

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,308,860,214, is 2.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

308:2x 2x 7x 11

860:2x 2x 5x 43

214:2x 107

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 24941100800/(2x880)

LCM = 24941100800/1760

LCM = 14171080

Thus, we can understand that the LCM of 440,308,860,214 is 14171080.

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

• LCM of 683, 865, 731, 977
• LCM of 470, 454, 303, 923
• LCM of 870, 846, 781, 195
• LCM of 619, 591, 167, 707
• LCM of 654, 830, 514, 332

1. What is the LCM of 440, 308, 860, 214?

Answer: LCM of 440, 308, 860, 214 is 14171080.

2. How to calculate the LCM of 440, 308, 860, 214?

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 440, 308, 860, 214.

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}.