Given numbers are 878,748,432,858

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

The LCM of 878,748,432,858 is 461034288.

Find LCM of 878,748,432,858 with Prime Factorization

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

2 x 2 x 3 x 11 x 439 x 17 x 36 x 13 = 461034288

Therefore, the lowest common multiple of 878,748,432,858 is 461034288.

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 748 x 432 x 858 = 243426104064

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,748,432,858, is 2.

Now, the common factors can be found like this.

878:2x 439

748:2x 2x 11x 17

432:2x 2x 2x 2x 3x 3x 3

858:2x 3x 11x 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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 243426104064/(2x264)

LCM = 243426104064/528

LCM = 461034288

Thus, we can understand that the LCM of 878,748,432,858 is 461034288.

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

• LCM of 844, 270, 768, 960
• LCM of 426, 490, 156, 351
• LCM of 199, 551, 151, 244
• LCM of 153, 634, 412, 691
• LCM of 185, 159, 849, 229

1. What is the LCM of 878, 748, 432, 858?

Answer: LCM of 878, 748, 432, 858 is 461034288.

2. How to calculate the LCM of 878, 748, 432, 858?

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, 748, 432, 858.

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}.