Given numbers are 902,736,224,270,935

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

The LCM of 902,736,224,270,935 is 5332551840.

Find LCM of 902,736,224,270,935 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 11 x 41 x 23 x 7 x 27 x 17 = 5332551840

Therefore, the lowest common multiple of 902,736,224,270,935 is 5332551840.

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.

902 x 736 x 224 x 270 x 935 = 37541164953600

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,736,224,270,935, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

736:2x 2x 2x 2x 2x 23

224:2x 2x 2x 2x 2x 7

270:2x 3x 3x 3x 5

935:5x 11x 17

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 2x 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 37541164953600/(1x7040)

LCM = 37541164953600/7040

LCM = 5332551840

Thus, we can understand that the LCM of 902,736,224,270,935 is 5332551840.

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

• LCM of 192, 458, 730, 395, 295
• LCM of 377, 587, 300, 578, 295
• LCM of 525, 300, 865, 541, 480
• LCM of 574, 951, 710, 519, 114
• LCM of 256, 479, 582, 515, 402

1. What is the LCM of 902, 736, 224, 270, 935?

Answer: LCM of 902, 736, 224, 270, 935 is 5332551840.

2. How to calculate the LCM of 902, 736, 224, 270, 935?

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 902, 736, 224, 270, 935.

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}.