Given numbers are 857,176,986,991,420

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

The LCM of 857,176,986,991,420 is 7737548113680.

Find LCM of 857,176,986,991,420 with Prime Factorization

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

2 x 2 x 857 x 44 x 493 x 991 x 105 = 7737548113680

Therefore, the lowest common multiple of 857,176,986,991,420 is 7737548113680.

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.

857 x 176 x 986 x 991 x 420 = 61900384909440

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.

857 : 1, 857

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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

991 : 1, 991

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,176,986,991,420, is 1.

Now, the common factors can be found like this.

857:857

176:2x 2x 2x 2x 11

986:2x 17x 29

991:991

420:2x 2x 3x 5x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 61900384909440/(1x8)

LCM = 61900384909440/8

LCM = 7737548113680

Thus, we can understand that the LCM of 857,176,986,991,420 is 7737548113680.

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

• LCM of 847, 880, 398, 885, 679
• LCM of 474, 562, 790, 361, 103
• LCM of 285, 263, 341, 201, 963
• LCM of 615, 494, 199, 338, 345
• LCM of 999, 730, 510, 289, 353

1. What is the LCM of 857, 176, 986, 991, 420?

Answer: LCM of 857, 176, 986, 991, 420 is 7737548113680.

2. How to calculate the LCM of 857, 176, 986, 991, 420?

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 857, 176, 986, 991, 420.

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}.