Given numbers are 807,778,138,270,924

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

The LCM of 807,778,138,270,924 is 100072373940.

Find LCM of 807,778,138,270,924 with Prime Factorization

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

2 x 3 x 269 x 389 x 23 x 45 x 154 = 100072373940

Therefore, the lowest common multiple of 807,778,138,270,924 is 100072373940.

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.

807 x 778 x 138 x 270 x 924 = 21615632771040

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.

807 : 1, 3, 269, 807

778 : 1, 2, 389, 778

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

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,778,138,270,924, is 1.

Now, the common factors can be found like this.

807:3x 269

778:2x 389

138:2x 3x 23

270:2x 3x 3x 3x 5

924:2x 2x 3x 7x 11

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 3 = 216

Therefore, the value for common factors is 216.

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 = 21615632771040/(1x216)

LCM = 21615632771040/216

LCM = 100072373940

Thus, we can understand that the LCM of 807,778,138,270,924 is 100072373940.

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

• LCM of 155, 827, 862, 762, 723
• LCM of 516, 441, 677, 200, 250
• LCM of 496, 128, 805, 307, 873
• LCM of 540, 456, 665, 424, 438
• LCM of 774, 637, 243, 552, 544

1. What is the LCM of 807, 778, 138, 270, 924?

Answer: LCM of 807, 778, 138, 270, 924 is 100072373940.

2. How to calculate the LCM of 807, 778, 138, 270, 924?

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 807, 778, 138, 270, 924.

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}.