Given numbers are 480,434,690,660

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

The LCM of 480,434,690,660 is 26352480.

Find LCM of 480,434,690,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 8 x 217 x 23 x 11 = 26352480

Therefore, the lowest common multiple of 480,434,690,660 is 26352480.

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.

480 x 434 x 690 x 660 = 94868928000

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.

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

434 : 1, 2, 7, 14, 31, 62, 217, 434

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 480,434,690,660, is 2.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

434:2x 7x 31

690:2x 3x 5x 23

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 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 = 94868928000/(2x1800)

LCM = 94868928000/3600

LCM = 26352480

Thus, we can understand that the LCM of 480,434,690,660 is 26352480.

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

• LCM of 886, 480, 148, 531
• LCM of 914, 943, 635, 673
• LCM of 729, 798, 396, 573
• LCM of 304, 909, 988, 841
• LCM of 799, 571, 280, 170

1. What is the LCM of 480, 434, 690, 660?

Answer: LCM of 480, 434, 690, 660 is 26352480.

2. How to calculate the LCM of 480, 434, 690, 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 480, 434, 690, 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}.