Given numbers are 142,748,408,370,508

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

The LCM of 142,748,408,370,508 is 7486634760.

Find LCM of 142,748,408,370,508 with Prime Factorization

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

2 x 2 x 17 x 71 x 11 x 6 x 185 x 127 = 7486634760

Therefore, the lowest common multiple of 142,748,408,370,508 is 7486634760.

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.

142 x 748 x 408 x 370 x 508 = 8145458618880

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.

142 : 1, 2, 71, 142

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

370 : 1, 2, 5, 10, 37, 74, 185, 370

508 : 1, 2, 4, 127, 254, 508

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,748,408,370,508, is 2.

Now, the common factors can be found like this.

142:2x 71

748:2x 2x 11x 17

408:2x 2x 2x 3x 17

370:2x 5x 37

508:2x 2x 127

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 17 = 544

Therefore, the value for common factors is 544.

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 = 8145458618880/(2x544)

LCM = 8145458618880/1088

LCM = 7486634760

Thus, we can understand that the LCM of 142,748,408,370,508 is 7486634760.

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

• LCM of 466, 601, 127, 809, 186
• LCM of 403, 309, 814, 769, 621
• LCM of 357, 626, 783, 766, 307
• LCM of 881, 697, 727, 526, 406
• LCM of 575, 409, 772, 400, 173

1. What is the LCM of 142, 748, 408, 370, 508?

Answer: LCM of 142, 748, 408, 370, 508 is 7486634760.

2. How to calculate the LCM of 142, 748, 408, 370, 508?

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 142, 748, 408, 370, 508.

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}.