Given numbers are 146,398,154,680,414

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

The LCM of 146,398,154,680,414 is 157451180040.

Find LCM of 146,398,154,680,414 with Prime Factorization

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

2 x 73 x 199 x 77 x 340 x 207 = 157451180040

Therefore, the lowest common multiple of 146,398,154,680,414 is 157451180040.

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.

146 x 398 x 154 x 680 x 414 = 2519218880640

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.

146 : 1, 2, 73, 146

398 : 1, 2, 199, 398

154 : 1, 2, 7, 11, 14, 22, 77, 154

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,398,154,680,414, is 2.

Now, the common factors can be found like this.

146:2x 73

398:2x 199

154:2x 7x 11

680:2x 2x 2x 5x 17

414:2x 3x 3x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2519218880640/(2x8)

LCM = 2519218880640/16

LCM = 157451180040

Thus, we can understand that the LCM of 146,398,154,680,414 is 157451180040.

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

• LCM of 636, 345, 971, 697, 613
• LCM of 737, 858, 518, 839, 512
• LCM of 431, 301, 790, 985, 289
• LCM of 833, 735, 159, 878, 747
• LCM of 144, 704, 381, 433, 747

1. What is the LCM of 146, 398, 154, 680, 414?

Answer: LCM of 146, 398, 154, 680, 414 is 157451180040.

2. How to calculate the LCM of 146, 398, 154, 680, 414?

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 146, 398, 154, 680, 414.

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}.