Given numbers are 398,628,146,294

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

The LCM of 398,628,146,294 is 1341074532.

Find LCM of 398,628,146,294 with Prime Factorization

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

2 x 199 x 314 x 73 x 147 = 1341074532

Therefore, the lowest common multiple of 398,628,146,294 is 1341074532.

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 628 x 146 x 294 = 10728596256

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

628 : 1, 2, 4, 157, 314, 628

146 : 1, 2, 73, 146

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,628,146,294, is 2.

Now, the common factors can be found like this.

398:2x 199

628:2x 2x 157

146:2x 73

294:2x 3x 7x 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 = 10728596256/(2x4)

LCM = 10728596256/8

LCM = 1341074532

Thus, we can understand that the LCM of 398,628,146,294 is 1341074532.

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

• LCM of 290, 264, 497, 526
• LCM of 583, 666, 468, 351
• LCM of 732, 362, 179, 463
• LCM of 434, 466, 152, 497
• LCM of 897, 230, 830, 358

1. What is the LCM of 398, 628, 146, 294?

Answer: LCM of 398, 628, 146, 294 is 1341074532.

2. How to calculate the LCM of 398, 628, 146, 294?

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, 628, 146, 294.

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}.