Given numbers are 546,918,962,528,330

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

The LCM of 546,918,962,528,330 is 1359998640.

Find LCM of 546,918,962,528,330 with Prime Factorization

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

2 x 3 x 11 x 13 x 7 x 153 x 37 x 8 x 5 = 1359998640

Therefore, the lowest common multiple of 546,918,962,528,330 is 1359998640.

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.

546 x 918 x 962 x 528 x 330 = 84015275984640

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

962 : 1, 2, 13, 26, 37, 74, 481, 962

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,918,962,528,330, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

918:2x 3x 3x 3x 17

962:2x 13x 37

528:2x 2x 2x 2x 3x 11

330:2x 3x 5x 11

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 3x 3x 3x 11x 13 = 30888

Therefore, the value for common factors is 30888.

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 = 84015275984640/(2x30888)

LCM = 84015275984640/61776

LCM = 1359998640

Thus, we can understand that the LCM of 546,918,962,528,330 is 1359998640.

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

• LCM of 216, 494, 737, 555, 698
• LCM of 496, 236, 806, 529, 505
• LCM of 320, 929, 699, 997, 285
• LCM of 710, 609, 660, 166, 601
• LCM of 833, 725, 694, 687, 843

1. What is the LCM of 546, 918, 962, 528, 330?

Answer: LCM of 546, 918, 962, 528, 330 is 1359998640.

2. How to calculate the LCM of 546, 918, 962, 528, 330?

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 546, 918, 962, 528, 330.

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}.