Given numbers are 643,706,214,338

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

The LCM of 643,706,214,338 is 8208922514.

Find LCM of 643,706,214,338 with Prime Factorization

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

2 x 643 x 353 x 107 x 169 = 8208922514

Therefore, the lowest common multiple of 643,706,214,338 is 8208922514.

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.

643 x 706 x 214 x 338 = 32835690056

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.

643 : 1, 643

706 : 1, 2, 353, 706

214 : 1, 2, 107, 214

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,706,214,338, is 1.

Now, the common factors can be found like this.

643:643

706:2x 353

214:2x 107

338:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 32835690056/(1x4)

LCM = 32835690056/4

LCM = 8208922514

Thus, we can understand that the LCM of 643,706,214,338 is 8208922514.

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

• LCM of 463, 856, 969, 981
• LCM of 275, 863, 394, 167
• LCM of 889, 271, 816, 686
• LCM of 309, 456, 964, 451
• LCM of 669, 235, 218, 405

1. What is the LCM of 643, 706, 214, 338?

Answer: LCM of 643, 706, 214, 338 is 8208922514.

2. How to calculate the LCM of 643, 706, 214, 338?

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 643, 706, 214, 338.

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}.