Given numbers are 546,437,816,252,427

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

The LCM of 546,437,816,252,427 is 5938326576.

Find LCM of 546,437,816,252,427 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 437 x 68 x 3 x 61 = 5938326576

Therefore, the lowest common multiple of 546,437,816,252,427 is 5938326576.

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 437 x 816 x 252 x 427 = 20950416160128

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

437 : 1, 19, 23, 437

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,437,816,252,427, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

437:19x 23

816:2x 2x 2x 2x 3x 17

252:2x 2x 3x 3x 7

427:7x 61

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 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 20950416160128/(1x3528)

LCM = 20950416160128/3528

LCM = 5938326576

Thus, we can understand that the LCM of 546,437,816,252,427 is 5938326576.

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

• LCM of 795, 388, 319, 306, 841
• LCM of 915, 965, 848, 197, 763
• LCM of 379, 780, 571, 248, 430
• LCM of 159, 480, 980, 789, 603
• LCM of 341, 277, 605, 643, 407

1. What is the LCM of 546, 437, 816, 252, 427?

Answer: LCM of 546, 437, 816, 252, 427 is 5938326576.

2. How to calculate the LCM of 546, 437, 816, 252, 427?

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, 437, 816, 252, 427.

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}.