Given numbers are 614,142,398,280

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

The LCM of 614,142,398,280 is 1214528840.

Find LCM of 614,142,398,280 with Prime Factorization

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

2 x 307 x 71 x 199 x 140 = 1214528840

Therefore, the lowest common multiple of 614,142,398,280 is 1214528840.

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.

614 x 142 x 398 x 280 = 9716230720

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.

614 : 1, 2, 307, 614

142 : 1, 2, 71, 142

398 : 1, 2, 199, 398

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,142,398,280, is 2.

Now, the common factors can be found like this.

614:2x 307

142:2x 71

398:2x 199

280:2x 2x 2x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9716230720/(2x4)

LCM = 9716230720/8

LCM = 1214528840

Thus, we can understand that the LCM of 614,142,398,280 is 1214528840.

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

• LCM of 104, 347, 756, 439
• LCM of 142, 397, 195, 651
• LCM of 130, 931, 858, 404
• LCM of 616, 281, 127, 707
• LCM of 851, 657, 569, 353

1. What is the LCM of 614, 142, 398, 280?

Answer: LCM of 614, 142, 398, 280 is 1214528840.

2. How to calculate the LCM of 614, 142, 398, 280?

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 614, 142, 398, 280.

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}.