Given numbers are 540,390,762,186

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

The LCM of 540,390,762,186 is 27637740.

Find LCM of 540,390,762,186 with Prime Factorization

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

2 x 3 x 5 x 18 x 13 x 127 x 31 = 27637740

Therefore, the lowest common multiple of 540,390,762,186 is 27637740.

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 390 x 762 x 186 = 29848759200

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

762 : 1, 2, 3, 6, 127, 254, 381, 762

186 : 1, 2, 3, 6, 31, 62, 93, 186

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,390,762,186, is 6.

Now, the common factors can be found like this.

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

390:2x 3x 5x 13

762:2x 3x 127

186:2x 3x 31

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 5 = 180

Therefore, the value for common factors is 180.

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 = 29848759200/(6x180)

LCM = 29848759200/1080

LCM = 27637740

Thus, we can understand that the LCM of 540,390,762,186 is 27637740.

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

• LCM of 418, 488, 633, 703
• LCM of 650, 462, 941, 687
• LCM of 383, 834, 695, 176
• LCM of 820, 726, 108, 593
• LCM of 878, 207, 822, 494

1. What is the LCM of 540, 390, 762, 186?

Answer: LCM of 540, 390, 762, 186 is 27637740.

2. How to calculate the LCM of 540, 390, 762, 186?

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, 390, 762, 186.

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}.