Given numbers are 540,582,732,988

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

The LCM of 540,582,732,988 is 789209460.

Find LCM of 540,582,732,988 with Prime Factorization

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

2 x 2 x 3 x 45 x 97 x 61 x 247 = 789209460

Therefore, the lowest common multiple of 540,582,732,988 is 789209460.

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 582 x 732 x 988 = 227292324480

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,582,732,988, is 2.

Now, the common factors can be found like this.

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

582:2x 3x 97

732:2x 2x 3x 61

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 3 = 144

Therefore, the value for common factors is 144.

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 = 227292324480/(2x144)

LCM = 227292324480/288

LCM = 789209460

Thus, we can understand that the LCM of 540,582,732,988 is 789209460.

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

• LCM of 179, 539, 853, 419
• LCM of 323, 359, 771, 994
• LCM of 870, 849, 344, 956
• LCM of 600, 982, 625, 934
• LCM of 839, 985, 598, 824

1. What is the LCM of 540, 582, 732, 988?

Answer: LCM of 540, 582, 732, 988 is 789209460.

2. How to calculate the LCM of 540, 582, 732, 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 540, 582, 732, 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}.