Given numbers are 142,219,257,984

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

The LCM of 142,219,257,984 is 1310718504.

Find LCM of 142,219,257,984 with Prime Factorization

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

2 x 3 x 71 x 73 x 257 x 164 = 1310718504

Therefore, the lowest common multiple of 142,219,257,984 is 1310718504.

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 219 x 257 x 984 = 7864311024

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

219 : 1, 3, 73, 219

257 : 1, 257

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,219,257,984, is 1.

Now, the common factors can be found like this.

142:2x 71

219:3x 73

257:257

984:2x 2x 2x 3x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7864311024/(1x6)

LCM = 7864311024/6

LCM = 1310718504

Thus, we can understand that the LCM of 142,219,257,984 is 1310718504.

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

• LCM of 501, 309, 324, 235
• LCM of 131, 840, 484, 142
• LCM of 363, 500, 670, 650
• LCM of 391, 714, 223, 243
• LCM of 185, 712, 417, 169

1. What is the LCM of 142, 219, 257, 984?

Answer: LCM of 142, 219, 257, 984 is 1310718504.

2. How to calculate the LCM of 142, 219, 257, 984?

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, 219, 257, 984.

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}.