Given numbers are 428,686,598,214

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

The LCM of 428,686,598,214 is 43894396.

Find LCM of 428,686,598,214 with Prime Factorization

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

2 x 107 x 2 x 343 x 299 x 1 = 43894396

Therefore, the lowest common multiple of 428,686,598,214 is 43894396.

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.

428 x 686 x 598 x 214 = 37573602976

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.

428 : 1, 2, 4, 107, 214, 428

686 : 1, 2, 7, 14, 49, 98, 343, 686

598 : 1, 2, 13, 23, 26, 46, 299, 598

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,686,598,214, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

686:2x 7x 7x 7

598:2x 13x 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 2x 107 = 428

Therefore, the value for common factors is 428.

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 = 37573602976/(2x428)

LCM = 37573602976/856

LCM = 43894396

Thus, we can understand that the LCM of 428,686,598,214 is 43894396.

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

• LCM of 674, 247, 334, 519
• LCM of 499, 453, 933, 378
• LCM of 729, 649, 335, 766
• LCM of 747, 765, 982, 728
• LCM of 926, 188, 543, 231

1. What is the LCM of 428, 686, 598, 214?

Answer: LCM of 428, 686, 598, 214 is 43894396.

2. How to calculate the LCM of 428, 686, 598, 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 428, 686, 598, 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}.