Given numbers are 667,340,936,968,214

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

The LCM of 667,340,936,968,214 is 687052234440.

Find LCM of 667,340,936,968,214 with Prime Factorization

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

2 x 2 x 2 x 667 x 85 x 117 x 121 x 107 = 687052234440

Therefore, the lowest common multiple of 667,340,936,968,214 is 687052234440.

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.

667 x 340 x 936 x 968 x 214 = 43971343004160

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.

667 : 1, 23, 29, 667

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,340,936,968,214, is 1.

Now, the common factors can be found like this.

667:23x 29

340:2x 2x 5x 17

936:2x 2x 2x 3x 3x 13

968:2x 2x 2x 11x 11

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 43971343004160/(1x64)

LCM = 43971343004160/64

LCM = 687052234440

Thus, we can understand that the LCM of 667,340,936,968,214 is 687052234440.

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

• LCM of 243, 468, 923, 926, 179
• LCM of 552, 888, 223, 455, 769
• LCM of 827, 433, 930, 382, 713
• LCM of 894, 607, 497, 359, 612
• LCM of 405, 312, 548, 527, 495

1. What is the LCM of 667, 340, 936, 968, 214?

Answer: LCM of 667, 340, 936, 968, 214 is 687052234440.

2. How to calculate the LCM of 667, 340, 936, 968, 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 667, 340, 936, 968, 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}.