Given numbers are 128,980,442,414

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

The LCM of 128,980,442,414 is 1434625920.

Find LCM of 128,980,442,414 with Prime Factorization

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

2 x 2 x 32 x 245 x 221 x 207 = 1434625920

Therefore, the lowest common multiple of 128,980,442,414 is 1434625920.

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.

128 x 980 x 442 x 414 = 22954014720

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

442 : 1, 2, 13, 17, 26, 34, 221, 442

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 128,980,442,414, is 2.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

980:2x 2x 5x 7x 7

442:2x 13x 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 = 22954014720/(2x8)

LCM = 22954014720/16

LCM = 1434625920

Thus, we can understand that the LCM of 128,980,442,414 is 1434625920.

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

• LCM of 555, 932, 227, 766
• LCM of 521, 159, 679, 270
• LCM of 473, 419, 328, 963
• LCM of 949, 244, 661, 284
• LCM of 493, 955, 864, 140

1. What is the LCM of 128, 980, 442, 414?

Answer: LCM of 128, 980, 442, 414 is 1434625920.

2. How to calculate the LCM of 128, 980, 442, 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 128, 980, 442, 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}.