Given numbers are 687,141,317,390,214

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

The LCM of 687,141,317,390,214 is 142377376830.

Find LCM of 687,141,317,390,214 with Prime Factorization

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

2 x 3 x 229 x 47 x 317 x 65 x 107 = 142377376830

Therefore, the lowest common multiple of 687,141,317,390,214 is 142377376830.

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.

687 x 141 x 317 x 390 x 214 = 2562792782940

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.

687 : 1, 3, 229, 687

141 : 1, 3, 47, 141

317 : 1, 317

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,141,317,390,214, is 1.

Now, the common factors can be found like this.

687:3x 229

141:3x 47

317:317

390:2x 3x 5x 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.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2562792782940/(1x18)

LCM = 2562792782940/18

LCM = 142377376830

Thus, we can understand that the LCM of 687,141,317,390,214 is 142377376830.

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

• LCM of 303, 574, 981, 687, 710
• LCM of 787, 255, 301, 370, 176
• LCM of 863, 858, 925, 890, 205
• LCM of 434, 875, 919, 986, 204
• LCM of 458, 322, 196, 109, 996

1. What is the LCM of 687, 141, 317, 390, 214?

Answer: LCM of 687, 141, 317, 390, 214 is 142377376830.

2. How to calculate the LCM of 687, 141, 317, 390, 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 687, 141, 317, 390, 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}.