Given numbers are 760,988,272,270,403

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

The LCM of 760,988,272,270,403 is 281165040.

Find LCM of 760,988,272,270,403 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 19 x 1 x 1 x 34 x 27 x 31 = 281165040

Therefore, the lowest common multiple of 760,988,272,270,403 is 281165040.

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.

760 x 988 x 272 x 270 x 403 = 22223284761600

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.

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,988,272,270,403, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

988:2x 2x 13x 19

272:2x 2x 2x 2x 17

270:2x 3x 3x 3x 5

403:13x 31

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 5x 13x 19 = 79040

Therefore, the value for common factors is 79040.

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 = 22223284761600/(1x79040)

LCM = 22223284761600/79040

LCM = 281165040

Thus, we can understand that the LCM of 760,988,272,270,403 is 281165040.

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

• LCM of 815, 595, 609, 371, 768
• LCM of 430, 295, 434, 570, 545
• LCM of 757, 101, 432, 912, 791
• LCM of 829, 175, 760, 368, 205
• LCM of 709, 472, 779, 141, 649

1. What is the LCM of 760, 988, 272, 270, 403?

Answer: LCM of 760, 988, 272, 270, 403 is 281165040.

2. How to calculate the LCM of 760, 988, 272, 270, 403?

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 760, 988, 272, 270, 403.

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}.