Given numbers are 667,795,438,282,216

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

The LCM of 667,795,438,282,216 is 130992423480.

Find LCM of 667,795,438,282,216 with Prime Factorization

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

2 x 3 x 667 x 265 x 73 x 47 x 36 = 130992423480

Therefore, the lowest common multiple of 667,795,438,282,216 is 130992423480.

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 795 x 438 x 282 x 216 = 14147181735840

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

795 : 1, 3, 5, 15, 53, 159, 265, 795

438 : 1, 2, 3, 6, 73, 146, 219, 438

282 : 1, 2, 3, 6, 47, 94, 141, 282

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,795,438,282,216, is 1.

Now, the common factors can be found like this.

667:23x 29

795:3x 5x 53

438:2x 3x 73

282:2x 3x 47

216:2x 2x 2x 3x 3x 3

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 3 = 108

Therefore, the value for common factors is 108.

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 = 14147181735840/(1x108)

LCM = 14147181735840/108

LCM = 130992423480

Thus, we can understand that the LCM of 667,795,438,282,216 is 130992423480.

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

• LCM of 362, 153, 842, 987, 861
• LCM of 879, 265, 359, 438, 600
• LCM of 226, 941, 775, 287, 523
• LCM of 802, 646, 410, 398, 496
• LCM of 785, 839, 504, 615, 884

1. What is the LCM of 667, 795, 438, 282, 216?

Answer: LCM of 667, 795, 438, 282, 216 is 130992423480.

2. How to calculate the LCM of 667, 795, 438, 282, 216?

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, 795, 438, 282, 216.

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}.