Given numbers are 398,340,338,174

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

The LCM of 398,340,338,174 is 994804980.

Find LCM of 398,340,338,174 with Prime Factorization

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

2 x 199 x 170 x 169 x 87 = 994804980

Therefore, the lowest common multiple of 398,340,338,174 is 994804980.

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 340 x 338 x 174 = 7958439840

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,340,338,174, is 2.

Now, the common factors can be found like this.

398:2x 199

340:2x 2x 5x 17

338:2x 13x 13

174:2x 3x 29

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 = 7958439840/(2x4)

LCM = 7958439840/8

LCM = 994804980

Thus, we can understand that the LCM of 398,340,338,174 is 994804980.

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

• LCM of 568, 196, 271, 854
• LCM of 907, 675, 483, 207
• LCM of 405, 854, 556, 614
• LCM of 351, 971, 390, 141
• LCM of 975, 339, 134, 972

1. What is the LCM of 398, 340, 338, 174?

Answer: LCM of 398, 340, 338, 174 is 994804980.

2. How to calculate the LCM of 398, 340, 338, 174?

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, 340, 338, 174.

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}.