Given numbers are 290,32,614

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

The LCM of 290,32,614 is 1424480.

Find LCM of 290,32,614 with Prime Factorization

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

2 x 145 x 16 x 307 = 1424480

Therefore, the lowest common multiple of 290,32,614 is 1424480.

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.

290 x 32 x 614 = 5697920

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,32,614, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

32:2x 2x 2x 2x 2

614:2x 307

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 = 5697920/(2x2)

LCM = 5697920/4

LCM = 1424480

Thus, we can understand that the LCM of 290,32,614 is 1424480.

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

• LCM of 207, 65, 476
• LCM of 151, 50, 294
• LCM of 923, 73, 828
• LCM of 994, 15, 712
• LCM of 823, 42, 355

1. What is the LCM of 290, 32, 614?

Answer: LCM of 290, 32, 614 is 1424480.

2. How to calculate the LCM of 290, 32, 614?

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 290, 32, 614.

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}.