Given numbers are 240,450,930,964

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

The LCM of 240,450,930,964 is 26895600.

Find LCM of 240,450,930,964 with Prime Factorization

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

2 x 2 x 3 x 5 x 4 x 15 x 31 x 241 = 26895600

Therefore, the lowest common multiple of 240,450,930,964 is 26895600.

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.

240 x 450 x 930 x 964 = 96824160000

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,450,930,964, is 2.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

450:2x 3x 3x 5x 5

930:2x 3x 5x 31

964:2x 2x 241

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 2x 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 96824160000/(2x1800)

LCM = 96824160000/3600

LCM = 26895600

Thus, we can understand that the LCM of 240,450,930,964 is 26895600.

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

• LCM of 978, 693, 439, 260
• LCM of 250, 421, 150, 321
• LCM of 864, 994, 925, 134
• LCM of 381, 350, 144, 173
• LCM of 130, 801, 650, 742

1. What is the LCM of 240, 450, 930, 964?

Answer: LCM of 240, 450, 930, 964 is 26895600.

2. How to calculate the LCM of 240, 450, 930, 964?

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 240, 450, 930, 964.

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}.