Given numbers are 612,686,418,314,688

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

The LCM of 612,686,418,314,688 is 1184731477776.

Find LCM of 612,686,418,314,688 with Prime Factorization

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

2 x 2 x 153 x 343 x 209 x 157 x 172 = 1184731477776

Therefore, the lowest common multiple of 612,686,418,314,688 is 1184731477776.

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.

612 x 686 x 418 x 314 x 688 = 37911407288832

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

686 : 1, 2, 7, 14, 49, 98, 343, 686

418 : 1, 2, 11, 19, 22, 38, 209, 418

314 : 1, 2, 157, 314

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,686,418,314,688, is 2.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

686:2x 7x 7x 7

418:2x 11x 19

314:2x 157

688:2x 2x 2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 37911407288832/(2x16)

LCM = 37911407288832/32

LCM = 1184731477776

Thus, we can understand that the LCM of 612,686,418,314,688 is 1184731477776.

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

• LCM of 200, 711, 545, 954, 263
• LCM of 952, 287, 707, 354, 538
• LCM of 770, 368, 381, 134, 841
• LCM of 726, 582, 458, 309, 687
• LCM of 755, 906, 558, 966, 990

1. What is the LCM of 612, 686, 418, 314, 688?

Answer: LCM of 612, 686, 418, 314, 688 is 1184731477776.

2. How to calculate the LCM of 612, 686, 418, 314, 688?

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 612, 686, 418, 314, 688.

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}.