Given numbers are 540,687,993,605,840

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

The LCM of 540,687,993,605,840 is 69337893240.

Find LCM of 540,687,993,605,840 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 229 x 331 x 121 x 14 = 69337893240

Therefore, the lowest common multiple of 540,687,993,605,840 is 69337893240.

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.

540 x 687 x 993 x 605 x 840 = 187212311748000

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

687 : 1, 3, 229, 687

993 : 1, 3, 331, 993

605 : 1, 5, 11, 55, 121, 605

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,687,993,605,840, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

687:3x 229

993:3x 331

605:5x 11x 11

840:2x 2x 2x 3x 5x 7

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 187212311748000/(1x2700)

LCM = 187212311748000/2700

LCM = 69337893240

Thus, we can understand that the LCM of 540,687,993,605,840 is 69337893240.

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

• LCM of 267, 684, 830, 411, 886
• LCM of 168, 373, 606, 654, 911
• LCM of 224, 771, 588, 484, 654
• LCM of 616, 899, 895, 686, 119
• LCM of 240, 279, 161, 936, 810

1. What is the LCM of 540, 687, 993, 605, 840?

Answer: LCM of 540, 687, 993, 605, 840 is 69337893240.

2. How to calculate the LCM of 540, 687, 993, 605, 840?

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 540, 687, 993, 605, 840.

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}.