Given numbers are 250,540,478,660

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

The LCM of 250,540,478,660 is 35491500.

Find LCM of 250,540,478,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 25 x 9 x 239 x 11 = 35491500

Therefore, the lowest common multiple of 250,540,478,660 is 35491500.

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.

250 x 540 x 478 x 660 = 42589800000

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.

250 : 1, 2, 5, 10, 25, 50, 125, 250

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

478 : 1, 2, 239, 478

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 250,540,478,660, is 2.

Now, the common factors can be found like this.

250:2x 5x 5x 5

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

478:2x 239

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 42589800000/(2x600)

LCM = 42589800000/1200

LCM = 35491500

Thus, we can understand that the LCM of 250,540,478,660 is 35491500.

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

• LCM of 269, 901, 738, 557
• LCM of 648, 231, 855, 618
• LCM of 163, 953, 490, 965
• LCM of 847, 559, 941, 106
• LCM of 712, 822, 500, 463

1. What is the LCM of 250, 540, 478, 660?

Answer: LCM of 250, 540, 478, 660 is 35491500.

2. How to calculate the LCM of 250, 540, 478, 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 250, 540, 478, 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}.