Given numbers are 546,884,516,644,440

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

The LCM of 546,884,516,644,440 is 2019577560.

Find LCM of 546,884,516,644,440 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 17 x 43 x 23 x 110 = 2019577560

Therefore, the lowest common multiple of 546,884,516,644,440 is 2019577560.

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 884 x 516 x 644 x 440 = 70572118256640

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,884,516,644,440, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

884:2x 2x 13x 17

516:2x 2x 3x 43

644:2x 2x 7x 23

440:2x 2x 2x 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 2x 2x 2x 3x 7x 13 = 17472

Therefore, the value for common factors is 17472.

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 = 70572118256640/(2x17472)

LCM = 70572118256640/34944

LCM = 2019577560

Thus, we can understand that the LCM of 546,884,516,644,440 is 2019577560.

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

• LCM of 100, 531, 642, 812, 481
• LCM of 140, 604, 172, 255, 476
• LCM of 296, 993, 599, 417, 693
• LCM of 725, 606, 125, 445, 968
• LCM of 710, 863, 569, 250, 201

1. What is the LCM of 546, 884, 516, 644, 440?

Answer: LCM of 546, 884, 516, 644, 440 is 2019577560.

2. How to calculate the LCM of 546, 884, 516, 644, 440?

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, 884, 516, 644, 440.

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}.