Given numbers are 496,192,956,879,868

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

The LCM of 496,192,956,879,868 is 2917604928.

Find LCM of 496,192,956,879,868 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 31 x 1 x 4 x 239 x 293 x 7 = 2917604928

Therefore, the lowest common multiple of 496,192,956,879,868 is 2917604928.

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.

496 x 192 x 956 x 879 x 868 = 69462338125824

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

956 : 1, 2, 4, 239, 478, 956

879 : 1, 3, 293, 879

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,192,956,879,868, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

192:2x 2x 2x 2x 2x 2x 3

956:2x 2x 239

879:3x 293

868:2x 2x 7x 31

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 2x 2x 2x 2x 3x 31 = 23808

Therefore, the value for common factors is 23808.

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 = 69462338125824/(1x23808)

LCM = 69462338125824/23808

LCM = 2917604928

Thus, we can understand that the LCM of 496,192,956,879,868 is 2917604928.

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

• LCM of 983, 139, 373, 843, 848
• LCM of 481, 327, 558, 886, 712
• LCM of 382, 731, 970, 819, 489
• LCM of 795, 840, 665, 315, 897
• LCM of 336, 258, 475, 575, 414

1. What is the LCM of 496, 192, 956, 879, 868?

Answer: LCM of 496, 192, 956, 879, 868 is 2917604928.

2. How to calculate the LCM of 496, 192, 956, 879, 868?

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 496, 192, 956, 879, 868.

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}.