Given numbers are 398,454,218,140

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

The LCM of 398,454,218,140 is 689339980.

Find LCM of 398,454,218,140 with Prime Factorization

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

2 x 199 x 227 x 109 x 70 = 689339980

Therefore, the lowest common multiple of 398,454,218,140 is 689339980.

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.

398 x 454 x 218 x 140 = 5514719840

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.

398 : 1, 2, 199, 398

454 : 1, 2, 227, 454

218 : 1, 2, 109, 218

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,454,218,140, is 2.

Now, the common factors can be found like this.

398:2x 199

454:2x 227

218:2x 109

140:2x 2x 5x 7

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 = 5514719840/(2x4)

LCM = 5514719840/8

LCM = 689339980

Thus, we can understand that the LCM of 398,454,218,140 is 689339980.

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

• LCM of 471, 465, 618, 288
• LCM of 994, 217, 748, 778
• LCM of 178, 427, 302, 640
• LCM of 459, 611, 754, 259
• LCM of 762, 596, 620, 870

1. What is the LCM of 398, 454, 218, 140?

Answer: LCM of 398, 454, 218, 140 is 689339980.

2. How to calculate the LCM of 398, 454, 218, 140?

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 398, 454, 218, 140.

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}.