Given numbers are 686,398,120,464,376

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

The LCM of 686,398,120,464,376 is 22328229840.

Find LCM of 686,398,120,464,376 with Prime Factorization

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

2 x 2 x 2 x 343 x 199 x 15 x 58 x 47 = 22328229840

Therefore, the lowest common multiple of 686,398,120,464,376 is 22328229840.

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.

686 x 398 x 120 x 464 x 376 = 5716026839040

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.

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

398 : 1, 2, 199, 398

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

376 : 1, 2, 4, 8, 47, 94, 188, 376

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,398,120,464,376, is 2.

Now, the common factors can be found like this.

686:2x 7x 7x 7

398:2x 199

120:2x 2x 2x 3x 5

464:2x 2x 2x 2x 29

376:2x 2x 2x 47

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 5716026839040/(2x128)

LCM = 5716026839040/256

LCM = 22328229840

Thus, we can understand that the LCM of 686,398,120,464,376 is 22328229840.

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

• LCM of 211, 392, 409, 997, 933
• LCM of 271, 393, 649, 864, 254
• LCM of 303, 558, 442, 645, 386
• LCM of 602, 840, 930, 705, 815
• LCM of 525, 436, 609, 803, 995

1. What is the LCM of 686, 398, 120, 464, 376?

Answer: LCM of 686, 398, 120, 464, 376 is 22328229840.

2. How to calculate the LCM of 686, 398, 120, 464, 376?

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 686, 398, 120, 464, 376.

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}.