Given numbers are 214,693,728,676

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

The LCM of 214,693,728,676 is 100252152.

Find LCM of 214,693,728,676 with Prime Factorization

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

2 x 2 x 7 x 13 x 107 x 99 x 2 x 13 = 100252152

Therefore, the lowest common multiple of 214,693,728,676 is 100252152.

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.

214 x 693 x 728 x 676 = 72983566656

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.

214 : 1, 2, 107, 214

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,693,728,676, is 1.

Now, the common factors can be found like this.

214:2x 107

693:3x 3x 7x 11

728:2x 2x 2x 7x 13

676:2x 2x 13x 13

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 72983566656/(1x728)

LCM = 72983566656/728

LCM = 100252152

Thus, we can understand that the LCM of 214,693,728,676 is 100252152.

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

• LCM of 591, 768, 789, 185
• LCM of 340, 584, 589, 459
• LCM of 461, 103, 154, 685
• LCM of 786, 212, 447, 921
• LCM of 488, 174, 929, 138

1. What is the LCM of 214, 693, 728, 676?

Answer: LCM of 214, 693, 728, 676 is 100252152.

2. How to calculate the LCM of 214, 693, 728, 676?

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 214, 693, 728, 676.

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}.