Given numbers are 289,414,758,421

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

The LCM of 289,414,758,421 is 19090596114.

Find LCM of 289,414,758,421 with Prime Factorization

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

2 x 289 x 207 x 379 x 421 = 19090596114

Therefore, the lowest common multiple of 289,414,758,421 is 19090596114.

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.

289 x 414 x 758 x 421 = 38181192228

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.

289 : 1, 17, 289

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

758 : 1, 2, 379, 758

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,414,758,421, is 1.

Now, the common factors can be found like this.

289:17x 17

414:2x 3x 3x 23

758:2x 379

421:421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 38181192228/(1x2)

LCM = 38181192228/2

LCM = 19090596114

Thus, we can understand that the LCM of 289,414,758,421 is 19090596114.

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

• LCM of 175, 294, 194, 416
• LCM of 152, 443, 436, 108
• LCM of 306, 830, 309, 539
• LCM of 436, 180, 468, 732
• LCM of 451, 327, 296, 353

1. What is the LCM of 289, 414, 758, 421?

Answer: LCM of 289, 414, 758, 421 is 19090596114.

2. How to calculate the LCM of 289, 414, 758, 421?

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 289, 414, 758, 421.

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}.