Given numbers are 828,161,302,922

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

The LCM of 828,161,302,922 is 403465356.

Find LCM of 828,161,302,922 with Prime Factorization

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

2 x 23 x 18 x 7 x 151 x 461 = 403465356

Therefore, the lowest common multiple of 828,161,302,922 is 403465356.

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 161 x 302 x 922 = 37118812752

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

161 : 1, 7, 23, 161

302 : 1, 2, 151, 302

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,161,302,922, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

161:7x 23

302:2x 151

922:2x 461

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 23 = 92

Therefore, the value for common factors is 92.

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 = 37118812752/(1x92)

LCM = 37118812752/92

LCM = 403465356

Thus, we can understand that the LCM of 828,161,302,922 is 403465356.

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

• LCM of 316, 455, 771, 948
• LCM of 144, 739, 714, 784
• LCM of 758, 895, 467, 998
• LCM of 235, 846, 387, 626
• LCM of 864, 586, 129, 358

1. What is the LCM of 828, 161, 302, 922?

Answer: LCM of 828, 161, 302, 922 is 403465356.

2. How to calculate the LCM of 828, 161, 302, 922?

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, 161, 302, 922.

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}.