Given numbers are 828,540,102,578,258

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

The LCM of 828,540,102,578,258 is 154343340.

Find LCM of 828,540,102,578,258 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 23 x 15 x 1 x 17 x 43 = 154343340

Therefore, the lowest common multiple of 828,540,102,578,258 is 154343340.

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.

828 x 540 x 102 x 578 x 258 = 6800984933760

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

102 : 1, 2, 3, 6, 17, 34, 51, 102

578 : 1, 2, 17, 34, 289, 578

258 : 1, 2, 3, 6, 43, 86, 129, 258

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,540,102,578,258, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

540:2x 2x 3x 3x 3x 5

102:2x 3x 17

578:2x 17x 17

258:2x 3x 43

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 3x 3x 3x 3x 17 = 22032

Therefore, the value for common factors is 22032.

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 = 6800984933760/(2x22032)

LCM = 6800984933760/44064

LCM = 154343340

Thus, we can understand that the LCM of 828,540,102,578,258 is 154343340.

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

• LCM of 289, 906, 224, 188, 723
• LCM of 693, 865, 402, 846, 895
• LCM of 405, 978, 850, 574, 501
• LCM of 693, 738, 533, 302, 802
• LCM of 174, 387, 441, 255, 788

1. What is the LCM of 828, 540, 102, 578, 258?

Answer: LCM of 828, 540, 102, 578, 258 is 154343340.

2. How to calculate the LCM of 828, 540, 102, 578, 258?

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 828, 540, 102, 578, 258.

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}.