Given numbers are 960,750,520,194,964

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

The LCM of 960,750,520,194,964 is 7293624000.

Find LCM of 960,750,520,194,964 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 8 x 25 x 13 x 97 x 241 = 7293624000

Therefore, the lowest common multiple of 960,750,520,194,964 is 7293624000.

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.

960 x 750 x 520 x 194 x 964 = 70018790400000

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

194 : 1, 2, 97, 194

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 960,750,520,194,964, is 2.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

750:2x 3x 5x 5x 5

520:2x 2x 2x 5x 13

194:2x 97

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 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 70018790400000/(2x4800)

LCM = 70018790400000/9600

LCM = 7293624000

Thus, we can understand that the LCM of 960,750,520,194,964 is 7293624000.

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

• LCM of 601, 884, 538, 548, 665
• LCM of 885, 780, 501, 454, 660
• LCM of 384, 817, 984, 756, 247
• LCM of 411, 644, 851, 984, 782
• LCM of 877, 442, 611, 189, 466

1. What is the LCM of 960, 750, 520, 194, 964?

Answer: LCM of 960, 750, 520, 194, 964 is 7293624000.

2. How to calculate the LCM of 960, 750, 520, 194, 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 960, 750, 520, 194, 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}.