Given numbers are 235,640,121,284,760

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

The LCM of 235,640,121,284,760 is 4909928320.

Find LCM of 235,640,121,284,760 with Prime Factorization

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

2 x 2 x 2 x 5 x 47 x 16 x 121 x 71 x 19 = 4909928320

Therefore, the lowest common multiple of 235,640,121,284,760 is 4909928320.

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.

235 x 640 x 121 x 284 x 760 = 3927942656000

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.

235 : 1, 5, 47, 235

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

121 : 1, 11, 121

284 : 1, 2, 4, 71, 142, 284

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,640,121,284,760, is 1.

Now, the common factors can be found like this.

235:5x 47

640:2x 2x 2x 2x 2x 2x 2x 5

121:11x 11

284:2x 2x 71

760:2x 2x 2x 5x 19

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 3927942656000/(1x800)

LCM = 3927942656000/800

LCM = 4909928320

Thus, we can understand that the LCM of 235,640,121,284,760 is 4909928320.

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

• LCM of 223, 794, 319, 925, 406
• LCM of 264, 145, 197, 773, 667
• LCM of 884, 337, 146, 692, 532
• LCM of 442, 437, 767, 557, 621
• LCM of 298, 108, 358, 357, 822

1. What is the LCM of 235, 640, 121, 284, 760?

Answer: LCM of 235, 640, 121, 284, 760 is 4909928320.

2. How to calculate the LCM of 235, 640, 121, 284, 760?

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 235, 640, 121, 284, 760.

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}.