Given numbers are 674,478,828,214

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

The LCM of 674,478,828,214 is 7135787628.

Find LCM of 674,478,828,214 with Prime Factorization

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

2 x 337 x 239 x 414 x 107 = 7135787628

Therefore, the lowest common multiple of 674,478,828,214 is 7135787628.

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.

674 x 478 x 828 x 214 = 57086301024

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.

674 : 1, 2, 337, 674

478 : 1, 2, 239, 478

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,478,828,214, is 2.

Now, the common factors can be found like this.

674:2x 337

478:2x 239

828:2x 2x 3x 3x 23

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 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 = 57086301024/(2x4)

LCM = 57086301024/8

LCM = 7135787628

Thus, we can understand that the LCM of 674,478,828,214 is 7135787628.

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

• LCM of 645, 308, 720, 684
• LCM of 577, 454, 579, 466
• LCM of 167, 367, 827, 282
• LCM of 674, 202, 528, 828
• LCM of 638, 777, 800, 423

1. What is the LCM of 674, 478, 828, 214?

Answer: LCM of 674, 478, 828, 214 is 7135787628.

2. How to calculate the LCM of 674, 478, 828, 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 674, 478, 828, 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}.