Given numbers are 546,677,728,214

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

The LCM of 546,677,728,214 is 158206776.

Find LCM of 546,677,728,214 with Prime Factorization

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

2 x 7 x 13 x 3 x 677 x 4 x 107 = 158206776

Therefore, the lowest common multiple of 546,677,728,214 is 158206776.

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 677 x 728 x 214 = 57587266464

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

677 : 1, 677

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,677,728,214, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

677:677

728:2x 2x 2x 7x 13

214:2x 107

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 57587266464/(1x364)

LCM = 57587266464/364

LCM = 158206776

Thus, we can understand that the LCM of 546,677,728,214 is 158206776.

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

• LCM of 559, 175, 932, 469
• LCM of 476, 359, 290, 119
• LCM of 689, 697, 251, 597
• LCM of 843, 257, 495, 139
• LCM of 382, 170, 371, 364

1. What is the LCM of 546, 677, 728, 214?

Answer: LCM of 546, 677, 728, 214 is 158206776.

2. How to calculate the LCM of 546, 677, 728, 214?

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, 677, 728, 214.

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}.