Given numbers are 628,785,916,214

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

The LCM of 628,785,916,214 is 76939420.

Find LCM of 628,785,916,214 with Prime Factorization

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

2 x 2 x 157 x 1 x 5 x 229 x 107 = 76939420

Therefore, the lowest common multiple of 628,785,916,214 is 76939420.

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.

628 x 785 x 916 x 214 = 96635911520

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.

628 : 1, 2, 4, 157, 314, 628

785 : 1, 5, 157, 785

916 : 1, 2, 4, 229, 458, 916

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,785,916,214, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

785:5x 157

916:2x 2x 229

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 2x 157 = 1256

Therefore, the value for common factors is 1256.

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 = 96635911520/(1x1256)

LCM = 96635911520/1256

LCM = 76939420

Thus, we can understand that the LCM of 628,785,916,214 is 76939420.

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

• LCM of 407, 797, 596, 392
• LCM of 937, 520, 613, 492
• LCM of 809, 187, 789, 700
• LCM of 919, 643, 606, 426
• LCM of 398, 682, 363, 897

1. What is the LCM of 628, 785, 916, 214?

Answer: LCM of 628, 785, 916, 214 is 76939420.

2. How to calculate the LCM of 628, 785, 916, 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 628, 785, 916, 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}.