Given numbers are 340,786,936,138,987

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

The LCM of 340,786,936,138,987 is 78865998120.

Find LCM of 340,786,936,138,987 with Prime Factorization

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

2 x 2 x 3 x 85 x 131 x 78 x 23 x 329 = 78865998120

Therefore, the lowest common multiple of 340,786,936,138,987 is 78865998120.

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.

340 x 786 x 936 x 138 x 987 = 34070111187840

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

786 : 1, 2, 3, 6, 131, 262, 393, 786

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,786,936,138,987, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

786:2x 3x 131

936:2x 2x 2x 3x 3x 13

138:2x 3x 23

987:3x 7x 47

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 3 = 432

Therefore, the value for common factors is 432.

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 = 34070111187840/(1x432)

LCM = 34070111187840/432

LCM = 78865998120

Thus, we can understand that the LCM of 340,786,936,138,987 is 78865998120.

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

• LCM of 586, 709, 337, 278, 301
• LCM of 123, 210, 891, 951, 559
• LCM of 884, 923, 681, 399, 145
• LCM of 323, 912, 661, 280, 341
• LCM of 496, 917, 569, 611, 705

1. What is the LCM of 340, 786, 936, 138, 987?

Answer: LCM of 340, 786, 936, 138, 987 is 78865998120.

2. How to calculate the LCM of 340, 786, 936, 138, 987?

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 340, 786, 936, 138, 987.

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}.