Given numbers are 857,219,129,365,168

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

The LCM of 857,219,129,365,168 is 2259703320.

Find LCM of 857,219,129,365,168 with Prime Factorization

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

3 x 73 x 857 x 1 x 43 x 5 x 56 = 2259703320

Therefore, the lowest common multiple of 857,219,129,365,168 is 2259703320.

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 219 x 129 x 365 x 168 = 1484625081240

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

219 : 1, 3, 73, 219

129 : 1, 3, 43, 129

365 : 1, 5, 73, 365

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,219,129,365,168, is 1.

Now, the common factors can be found like this.

857:857

219:3x 73

129:3x 43

365:5x 73

168:2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 73 = 657

Therefore, the value for common factors is 657.

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 = 1484625081240/(1x657)

LCM = 1484625081240/657

LCM = 2259703320

Thus, we can understand that the LCM of 857,219,129,365,168 is 2259703320.

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

• LCM of 993, 111, 741, 249, 741
• LCM of 776, 707, 835, 181, 961
• LCM of 346, 848, 609, 793, 151
• LCM of 103, 875, 103, 767, 876
• LCM of 990, 983, 262, 998, 765

1. What is the LCM of 857, 219, 129, 365, 168?

Answer: LCM of 857, 219, 129, 365, 168 is 2259703320.

2. How to calculate the LCM of 857, 219, 129, 365, 168?

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, 219, 129, 365, 168.

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}.