Given numbers are 214,150,518,919

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

The LCM of 214,150,518,919 is 3820237050.

Find LCM of 214,150,518,919 with Prime Factorization

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

2 x 107 x 75 x 259 x 919 = 3820237050

Therefore, the lowest common multiple of 214,150,518,919 is 3820237050.

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 150 x 518 x 919 = 15280948200

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

518 : 1, 2, 7, 14, 37, 74, 259, 518

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,150,518,919, is 1.

Now, the common factors can be found like this.

214:2x 107

150:2x 3x 5x 5

518:2x 7x 37

919:919

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15280948200/(1x4)

LCM = 15280948200/4

LCM = 3820237050

Thus, we can understand that the LCM of 214,150,518,919 is 3820237050.

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

• LCM of 660, 557, 164, 800
• LCM of 508, 891, 665, 621
• LCM of 661, 452, 990, 321
• LCM of 291, 568, 230, 978
• LCM of 835, 932, 285, 870

1. What is the LCM of 214, 150, 518, 919?

Answer: LCM of 214, 150, 518, 919 is 3820237050.

2. How to calculate the LCM of 214, 150, 518, 919?

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, 150, 518, 919.

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}.