Given numbers are 878,590,138,282,648

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

The LCM of 878,590,138,282,648 is 90716698440.

Find LCM of 878,590,138,282,648 with Prime Factorization

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

2 x 3 x 439 x 295 x 23 x 47 x 108 = 90716698440

Therefore, the lowest common multiple of 878,590,138,282,648 is 90716698440.

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.

878 x 590 x 138 x 282 x 648 = 13063204575360

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.

878 : 1, 2, 439, 878

590 : 1, 2, 5, 10, 59, 118, 295, 590

138 : 1, 2, 3, 6, 23, 46, 69, 138

282 : 1, 2, 3, 6, 47, 94, 141, 282

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,590,138,282,648, is 2.

Now, the common factors can be found like this.

878:2x 439

590:2x 5x 59

138:2x 3x 23

282:2x 3x 47

648:2x 2x 2x 3x 3x 3x 3

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 3 = 72

Therefore, the value for common factors is 72.

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 = 13063204575360/(2x72)

LCM = 13063204575360/144

LCM = 90716698440

Thus, we can understand that the LCM of 878,590,138,282,648 is 90716698440.

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

• LCM of 618, 519, 904, 345, 542
• LCM of 792, 298, 880, 228, 514
• LCM of 500, 726, 644, 571, 521
• LCM of 823, 274, 952, 244, 734
• LCM of 309, 914, 229, 867, 626

1. What is the LCM of 878, 590, 138, 282, 648?

Answer: LCM of 878, 590, 138, 282, 648 is 90716698440.

2. How to calculate the LCM of 878, 590, 138, 282, 648?

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 878, 590, 138, 282, 648.

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}.