Given numbers are 878,931,364,966,728

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

The LCM of 878,931,364,966,728 is 2932895784.

Find LCM of 878,931,364,966,728 with Prime Factorization

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

2 x 2 x 7 x 13 x 439 x 133 x 1 x 69 x 2 = 2932895784

Therefore, the lowest common multiple of 878,931,364,966,728 is 2932895784.

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 931 x 364 x 966 x 728 = 209244516813696

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

931 : 1, 7, 19, 49, 133, 931

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,931,364,966,728, is 1.

Now, the common factors can be found like this.

878:2x 439

931:7x 7x 19

364:2x 2x 7x 13

966:2x 3x 7x 23

728:2x 2x 2x 7x 13

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 7x 7x 7x 13 = 71344

Therefore, the value for common factors is 71344.

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 = 209244516813696/(1x71344)

LCM = 209244516813696/71344

LCM = 2932895784

Thus, we can understand that the LCM of 878,931,364,966,728 is 2932895784.

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

• LCM of 671, 692, 280, 953, 201
• LCM of 358, 501, 539, 846, 399
• LCM of 660, 158, 763, 927, 308
• LCM of 669, 465, 680, 997, 785
• LCM of 184, 123, 656, 454, 482

1. What is the LCM of 878, 931, 364, 966, 728?

Answer: LCM of 878, 931, 364, 966, 728 is 2932895784.

2. How to calculate the LCM of 878, 931, 364, 966, 728?

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, 931, 364, 966, 728.

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}.