Given numbers are 960,540,454,660

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

The LCM of 960,540,454,660 is 21574080.

Find LCM of 960,540,454,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 16 x 9 x 227 x 11 = 21574080

Therefore, the lowest common multiple of 960,540,454,660 is 21574080.

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 540 x 454 x 660 = 155333376000

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

454 : 1, 2, 227, 454

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,540,454,660, is 2.

Now, the common factors can be found like this.

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

540:2x 2x 3x 3x 3x 5

454:2x 227

660:2x 2x 3x 5x 11

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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 155333376000/(2x3600)

LCM = 155333376000/7200

LCM = 21574080

Thus, we can understand that the LCM of 960,540,454,660 is 21574080.

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

• LCM of 499, 954, 134, 262
• LCM of 925, 373, 751, 144
• LCM of 693, 559, 687, 270
• LCM of 210, 754, 445, 116
• LCM of 859, 437, 820, 327

1. What is the LCM of 960, 540, 454, 660?

Answer: LCM of 960, 540, 454, 660 is 21574080.

2. How to calculate the LCM of 960, 540, 454, 660?

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, 540, 454, 660.

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}.