Given numbers are 540,642,978,638

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

The LCM of 540,642,978,638 is 3004386660.

Find LCM of 540,642,978,638 with Prime Factorization

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

2 x 3 x 90 x 107 x 163 x 319 = 3004386660

Therefore, the lowest common multiple of 540,642,978,638 is 3004386660.

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 642 x 978 x 638 = 216315839520

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

978 : 1, 2, 3, 6, 163, 326, 489, 978

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,642,978,638, is 2.

Now, the common factors can be found like this.

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

642:2x 3x 107

978:2x 3x 163

638:2x 11x 29

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 3 = 36

Therefore, the value for common factors is 36.

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 = 216315839520/(2x36)

LCM = 216315839520/72

LCM = 3004386660

Thus, we can understand that the LCM of 540,642,978,638 is 3004386660.

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

• LCM of 604, 213, 433, 607
• LCM of 577, 625, 388, 845
• LCM of 575, 563, 550, 425
• LCM of 252, 618, 150, 225
• LCM of 199, 586, 113, 309

1. What is the LCM of 540, 642, 978, 638?

Answer: LCM of 540, 642, 978, 638 is 3004386660.

2. How to calculate the LCM of 540, 642, 978, 638?

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, 642, 978, 638.

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}.