Given numbers are 142,125,408,782,976

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

The LCM of 142,125,408,782,976 is 10160526000.

Find LCM of 142,125,408,782,976 with Prime Factorization

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

2 x 2 x 2 x 17 x 71 x 125 x 3 x 23 x 122 = 10160526000

Therefore, the lowest common multiple of 142,125,408,782,976 is 10160526000.

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 125 x 408 x 782 x 976 = 5527326144000

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

125 : 1, 5, 25, 125

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,125,408,782,976, is 1.

Now, the common factors can be found like this.

142:2x 71

125:5x 5x 5

408:2x 2x 2x 3x 17

782:2x 17x 23

976:2x 2x 2x 2x 61

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 = 5527326144000/(1x544)

LCM = 5527326144000/544

LCM = 10160526000

Thus, we can understand that the LCM of 142,125,408,782,976 is 10160526000.

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

• LCM of 773, 327, 861, 404, 754
• LCM of 320, 996, 182, 645, 350
• LCM of 398, 802, 683, 522, 893
• LCM of 281, 249, 316, 500, 898
• LCM of 147, 979, 312, 988, 393

1. What is the LCM of 142, 125, 408, 782, 976?

Answer: LCM of 142, 125, 408, 782, 976 is 10160526000.

2. How to calculate the LCM of 142, 125, 408, 782, 976?

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, 125, 408, 782, 976.

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}.