Given numbers are 828,103,247,361

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

The LCM of 828,103,247,361 is 400237812.

Find LCM of 828,103,247,361 with Prime Factorization

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

19 x 828 x 103 x 13 x 19 = 400237812

Therefore, the lowest common multiple of 828,103,247,361 is 400237812.

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 103 x 247 x 361 = 7604518428

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

103 : 1, 103

247 : 1, 13, 19, 247

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,103,247,361, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

103:103

247:13x 19

361:19x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 7604518428/(1x19)

LCM = 7604518428/19

LCM = 400237812

Thus, we can understand that the LCM of 828,103,247,361 is 400237812.

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

• LCM of 673, 865, 140, 736
• LCM of 925, 338, 866, 967
• LCM of 908, 314, 821, 282
• LCM of 609, 759, 235, 803
• LCM of 675, 697, 710, 963

1. What is the LCM of 828, 103, 247, 361?

Answer: LCM of 828, 103, 247, 361 is 400237812.

2. How to calculate the LCM of 828, 103, 247, 361?

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, 103, 247, 361.

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}.