Given numbers are 142,905,298,238,828

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

The LCM of 142,905,298,238,828 is 943344875340.

Find LCM of 142,905,298,238,828 with Prime Factorization

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

2 x 71 x 905 x 149 x 119 x 414 = 943344875340

Therefore, the lowest common multiple of 142,905,298,238,828 is 943344875340.

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 905 x 298 x 238 x 828 = 7546759002720

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

905 : 1, 5, 181, 905

298 : 1, 2, 149, 298

238 : 1, 2, 7, 14, 17, 34, 119, 238

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,905,298,238,828, is 1.

Now, the common factors can be found like this.

142:2x 71

905:5x 181

298:2x 149

238:2x 7x 17

828:2x 2x 3x 3x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7546759002720/(1x8)

LCM = 7546759002720/8

LCM = 943344875340

Thus, we can understand that the LCM of 142,905,298,238,828 is 943344875340.

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

• LCM of 950, 602, 456, 656, 302
• LCM of 174, 373, 262, 733, 815
• LCM of 579, 517, 788, 679, 676
• LCM of 187, 982, 567, 766, 164
• LCM of 703, 612, 932, 570, 576

1. What is the LCM of 142, 905, 298, 238, 828?

Answer: LCM of 142, 905, 298, 238, 828 is 943344875340.

2. How to calculate the LCM of 142, 905, 298, 238, 828?

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, 905, 298, 238, 828.

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}.