Given numbers are 964,35,614

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

The LCM of 964,35,614 is 10358180.

Find LCM of 964,35,614 with Prime Factorization

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

2 x 482 x 35 x 307 = 10358180

Therefore, the lowest common multiple of 964,35,614 is 10358180.

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.

964 x 35 x 614 = 20716360

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.

964 : 1, 2, 4, 241, 482, 964

35 : 1, 5, 7, 35

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,35,614, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

35:5x 7

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 = 20716360/(1x2)

LCM = 20716360/2

LCM = 10358180

Thus, we can understand that the LCM of 964,35,614 is 10358180.

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

• LCM of 614, 81, 439
• LCM of 502, 36, 250
• LCM of 334, 76, 605
• LCM of 438, 38, 412
• LCM of 278, 53, 161

1. What is the LCM of 964, 35, 614?

Answer: LCM of 964, 35, 614 is 10358180.

2. How to calculate the LCM of 964, 35, 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 964, 35, 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}.