Given numbers are 475,688,240,540

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

The LCM of 475,688,240,540 is 8823600.

Find LCM of 475,688,240,540 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 95 x 43 x 1 x 9 = 8823600

Therefore, the lowest common multiple of 475,688,240,540 is 8823600.

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.

475 x 688 x 240 x 540 = 42353280000

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.

475 : 1, 5, 19, 25, 95, 475

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,688,240,540, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

688:2x 2x 2x 2x 43

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

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

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 = 42353280000/(1x4800)

LCM = 42353280000/4800

LCM = 8823600

Thus, we can understand that the LCM of 475,688,240,540 is 8823600.

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

• LCM of 322, 794, 929, 223
• LCM of 802, 484, 632, 418
• LCM of 814, 399, 813, 505
• LCM of 491, 604, 470, 648
• LCM of 247, 785, 433, 478

1. What is the LCM of 475, 688, 240, 540?

Answer: LCM of 475, 688, 240, 540 is 8823600.

2. How to calculate the LCM of 475, 688, 240, 540?

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 475, 688, 240, 540.

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}.