Given numbers are 726,971,647,214

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

The LCM of 726,971,647,214 is 48802706634.

Find LCM of 726,971,647,214 with Prime Factorization

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

2 x 363 x 971 x 647 x 107 = 48802706634

Therefore, the lowest common multiple of 726,971,647,214 is 48802706634.

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.

726 x 971 x 647 x 214 = 97605413268

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

971 : 1, 971

647 : 1, 647

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,971,647,214, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

971:971

647:647

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 97605413268/(1x2)

LCM = 97605413268/2

LCM = 48802706634

Thus, we can understand that the LCM of 726,971,647,214 is 48802706634.

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

• LCM of 372, 133, 164, 355
• LCM of 270, 363, 569, 845
• LCM of 352, 767, 547, 105
• LCM of 900, 842, 846, 968
• LCM of 658, 587, 683, 105

1. What is the LCM of 726, 971, 647, 214?

Answer: LCM of 726, 971, 647, 214 is 48802706634.

2. How to calculate the LCM of 726, 971, 647, 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 726, 971, 647, 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}.