Given numbers are 214,642,279,821,582

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

The LCM of 214,642,279,821,582 is 4754806722.

Find LCM of 214,642,279,821,582 with Prime Factorization

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

2 x 3 x 107 x 1 x 1 x 93 x 821 x 97 = 4754806722

Therefore, the lowest common multiple of 214,642,279,821,582 is 4754806722.

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 642 x 279 x 821 x 582 = 18315515493144

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

279 : 1, 3, 9, 31, 93, 279

821 : 1, 821

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,642,279,821,582, is 1.

Now, the common factors can be found like this.

214:2x 107

642:2x 3x 107

279:3x 3x 31

821:821

582:2x 3x 97

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 3x 3x 107 = 3852

Therefore, the value for common factors is 3852.

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 = 18315515493144/(1x3852)

LCM = 18315515493144/3852

LCM = 4754806722

Thus, we can understand that the LCM of 214,642,279,821,582 is 4754806722.

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

• LCM of 464, 434, 215, 143, 172
• LCM of 182, 519, 559, 183, 804
• LCM of 500, 660, 271, 544, 758
• LCM of 402, 547, 444, 362, 351
• LCM of 892, 318, 131, 390, 710

1. What is the LCM of 214, 642, 279, 821, 582?

Answer: LCM of 214, 642, 279, 821, 582 is 4754806722.

2. How to calculate the LCM of 214, 642, 279, 821, 582?

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, 642, 279, 821, 582.

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}.