Given numbers are 861,468,696,125,988

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

The LCM of 861,468,696,125,988 is 18502029000.

Find LCM of 861,468,696,125,988 with Prime Factorization

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

2 x 2 x 3 x 13 x 287 x 3 x 58 x 125 x 19 = 18502029000

Therefore, the lowest common multiple of 861,468,696,125,988 is 18502029000.

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.

861 x 468 x 696 x 125 x 988 = 34635798288000

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

125 : 1, 5, 25, 125

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,468,696,125,988, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

468:2x 2x 3x 3x 13

696:2x 2x 2x 3x 29

125:5x 5x 5

988:2x 2x 13x 19

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 34635798288000/(1x1872)

LCM = 34635798288000/1872

LCM = 18502029000

Thus, we can understand that the LCM of 861,468,696,125,988 is 18502029000.

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

• LCM of 261, 989, 998, 535, 156
• LCM of 449, 931, 216, 620, 694
• LCM of 688, 296, 369, 863, 597
• LCM of 440, 959, 890, 735, 821
• LCM of 916, 543, 133, 618, 635

1. What is the LCM of 861, 468, 696, 125, 988?

Answer: LCM of 861, 468, 696, 125, 988 is 18502029000.

2. How to calculate the LCM of 861, 468, 696, 125, 988?

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 861, 468, 696, 125, 988.

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}.