Given numbers are 107,862,296,248,688

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

The LCM of 107,862,296,248,688 is 36392584912.

Find LCM of 107,862,296,248,688 with Prime Factorization

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

2 x 2 x 2 x 107 x 431 x 37 x 31 x 86 = 36392584912

Therefore, the lowest common multiple of 107,862,296,248,688 is 36392584912.

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.

107 x 862 x 296 x 248 x 688 = 4658250868736

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.

107 : 1, 107

862 : 1, 2, 431, 862

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,862,296,248,688, is 1.

Now, the common factors can be found like this.

107:107

862:2x 431

296:2x 2x 2x 37

248:2x 2x 2x 31

688:2x 2x 2x 2x 43

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 4658250868736/(1x128)

LCM = 4658250868736/128

LCM = 36392584912

Thus, we can understand that the LCM of 107,862,296,248,688 is 36392584912.

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

• LCM of 838, 510, 982, 489, 374
• LCM of 835, 969, 989, 942, 322
• LCM of 857, 522, 183, 263, 943
• LCM of 789, 499, 337, 205, 113
• LCM of 532, 693, 537, 662, 389

1. What is the LCM of 107, 862, 296, 248, 688?

Answer: LCM of 107, 862, 296, 248, 688 is 36392584912.

2. How to calculate the LCM of 107, 862, 296, 248, 688?

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 107, 862, 296, 248, 688.

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}.