Given numbers are 868,824,948,986,851

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

The LCM of 868,824,948,986,851 is 17779181804328.

Find LCM of 868,824,948,986,851 with Prime Factorization

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

2 x 2 x 217 x 206 x 237 x 493 x 851 = 17779181804328

Therefore, the lowest common multiple of 868,824,948,986,851 is 17779181804328.

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.

868 x 824 x 948 x 986 x 851 = 568933817738496

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.

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

986 : 1, 2, 17, 29, 34, 58, 493, 986

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,824,948,986,851, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

824:2x 2x 2x 103

948:2x 2x 3x 79

986:2x 17x 29

851:23x 37

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 2 = 32

Therefore, the value for common factors is 32.

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 = 568933817738496/(1x32)

LCM = 568933817738496/32

LCM = 17779181804328

Thus, we can understand that the LCM of 868,824,948,986,851 is 17779181804328.

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

• LCM of 710, 338, 233, 500, 114
• LCM of 699, 998, 604, 718, 938
• LCM of 456, 374, 556, 144, 117
• LCM of 716, 152, 477, 979, 487
• LCM of 353, 179, 268, 138, 854

1. What is the LCM of 868, 824, 948, 986, 851?

Answer: LCM of 868, 824, 948, 986, 851 is 17779181804328.

2. How to calculate the LCM of 868, 824, 948, 986, 851?

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 868, 824, 948, 986, 851.

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}.