Given numbers are 679,585,143,214

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

The LCM of 679,585,143,214 is 935044110.

Find LCM of 679,585,143,214 with Prime Factorization

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

13 x 679 x 45 x 11 x 214 = 935044110

Therefore, the lowest common multiple of 679,585,143,214 is 935044110.

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.

679 x 585 x 143 x 214 = 12155573430

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.

679 : 1, 7, 97, 679

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

143 : 1, 11, 13, 143

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,585,143,214, is 1.

Now, the common factors can be found like this.

679:7x 97

585:3x 3x 5x 13

143:11x 13

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 12155573430/(1x13)

LCM = 12155573430/13

LCM = 935044110

Thus, we can understand that the LCM of 679,585,143,214 is 935044110.

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

• LCM of 314, 703, 621, 763
• LCM of 891, 977, 475, 784
• LCM of 428, 763, 594, 310
• LCM of 106, 926, 137, 812
• LCM of 271, 623, 821, 119

1. What is the LCM of 679, 585, 143, 214?

Answer: LCM of 679, 585, 143, 214 is 935044110.

2. How to calculate the LCM of 679, 585, 143, 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 679, 585, 143, 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}.