Given numbers are 828,145,203,286

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

The LCM of 828,145,203,286 is 120180060.

Find LCM of 828,145,203,286 with Prime Factorization

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

2 x 29 x 414 x 5 x 7 x 143 = 120180060

Therefore, the lowest common multiple of 828,145,203,286 is 120180060.

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 145 x 203 x 286 = 6970443480

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

145 : 1, 5, 29, 145

203 : 1, 7, 29, 203

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,145,203,286, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

145:5x 29

203:7x 29

286:2x 11x 13

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 6970443480/(1x58)

LCM = 6970443480/58

LCM = 120180060

Thus, we can understand that the LCM of 828,145,203,286 is 120180060.

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

• LCM of 854, 269, 618, 691
• LCM of 776, 210, 175, 605
• LCM of 520, 750, 863, 933
• LCM of 840, 388, 982, 253
• LCM of 896, 892, 675, 595

1. What is the LCM of 828, 145, 203, 286?

Answer: LCM of 828, 145, 203, 286 is 120180060.

2. How to calculate the LCM of 828, 145, 203, 286?

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, 145, 203, 286.

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}.