Given numbers are 385,465,370,305,540

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

The LCM of 385,465,370,305,540 is 2909227860.

Find LCM of 385,465,370,305,540 with Prime Factorization

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

2 x 3 x 5 x 77 x 31 x 37 x 61 x 18 = 2909227860

Therefore, the lowest common multiple of 385,465,370,305,540 is 2909227860.

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.

385 x 465 x 370 x 305 x 540 = 10909604475000

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

465 : 1, 3, 5, 15, 31, 93, 155, 465

370 : 1, 2, 5, 10, 37, 74, 185, 370

305 : 1, 5, 61, 305

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

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,465,370,305,540, is 5.

Now, the common factors can be found like this.

385:5x 7x 11

465:3x 5x 31

370:2x 5x 37

305:5x 61

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 3x 5x 5x 5 = 750

Therefore, the value for common factors is 750.

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 = 10909604475000/(5x750)

LCM = 10909604475000/3750

LCM = 2909227860

Thus, we can understand that the LCM of 385,465,370,305,540 is 2909227860.

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

• LCM of 831, 240, 111, 534, 788
• LCM of 999, 250, 188, 764, 965
• LCM of 320, 180, 144, 341, 992
• LCM of 512, 310, 447, 161, 618
• LCM of 970, 946, 216, 315, 986

1. What is the LCM of 385, 465, 370, 305, 540?

Answer: LCM of 385, 465, 370, 305, 540 is 2909227860.

2. How to calculate the LCM of 385, 465, 370, 305, 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 385, 465, 370, 305, 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}.