Given numbers are 138,592,782,122,859

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

The LCM of 138,592,782,122,859 is 36386703984.

Find LCM of 138,592,782,122,859 with Prime Factorization

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

2 x 23 x 3 x 296 x 17 x 61 x 859 = 36386703984

Therefore, the lowest common multiple of 138,592,782,122,859 is 36386703984.

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.

138 x 592 x 782 x 122 x 859 = 6695153533056

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

122 : 1, 2, 61, 122

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,592,782,122,859, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

592:2x 2x 2x 2x 37

782:2x 17x 23

122:2x 61

859:859

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 23 = 184

Therefore, the value for common factors is 184.

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 = 6695153533056/(1x184)

LCM = 6695153533056/184

LCM = 36386703984

Thus, we can understand that the LCM of 138,592,782,122,859 is 36386703984.

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

• LCM of 104, 744, 938, 801, 306
• LCM of 948, 461, 400, 688, 556
• LCM of 127, 665, 307, 260, 174
• LCM of 696, 517, 694, 762, 189
• LCM of 755, 667, 493, 824, 799

1. What is the LCM of 138, 592, 782, 122, 859?

Answer: LCM of 138, 592, 782, 122, 859 is 36386703984.

2. How to calculate the LCM of 138, 592, 782, 122, 859?

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 138, 592, 782, 122, 859.

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}.