Given numbers are 287,756,270,696,993

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

The LCM of 287,756,270,696,993 is 2975306040.

Find LCM of 287,756,270,696,993 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 7 x 41 x 1 x 5 x 58 x 331 = 2975306040

Therefore, the lowest common multiple of 287,756,270,696,993 is 2975306040.

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.

287 x 756 x 270 x 696 x 993 = 40487964592320

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.

287 : 1, 7, 41, 287

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,756,270,696,993, is 1.

Now, the common factors can be found like this.

287:7x 41

756:2x 2x 3x 3x 3x 7

270:2x 3x 3x 3x 5

696:2x 2x 2x 3x 29

993:3x 331

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 3x 3x 3x 3x 3x 7 = 13608

Therefore, the value for common factors is 13608.

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 = 40487964592320/(1x13608)

LCM = 40487964592320/13608

LCM = 2975306040

Thus, we can understand that the LCM of 287,756,270,696,993 is 2975306040.

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

• LCM of 448, 456, 858, 722, 994
• LCM of 459, 374, 810, 444, 882
• LCM of 538, 718, 969, 349, 232
• LCM of 777, 604, 875, 575, 618
• LCM of 429, 503, 662, 781, 111

1. What is the LCM of 287, 756, 270, 696, 993?

Answer: LCM of 287, 756, 270, 696, 993 is 2975306040.

2. How to calculate the LCM of 287, 756, 270, 696, 993?

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 287, 756, 270, 696, 993.

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}.