Given numbers are 824,221,343,292

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

The LCM of 824,221,343,292 is 4559702056.

Find LCM of 824,221,343,292 with Prime Factorization

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

2 x 2 x 206 x 221 x 343 x 73 = 4559702056

Therefore, the lowest common multiple of 824,221,343,292 is 4559702056.

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.

824 x 221 x 343 x 292 = 18238808224

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

221 : 1, 13, 17, 221

343 : 1, 7, 49, 343

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,221,343,292, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

221:13x 17

343:7x 7x 7

292:2x 2x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18238808224/(1x4)

LCM = 18238808224/4

LCM = 4559702056

Thus, we can understand that the LCM of 824,221,343,292 is 4559702056.

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

• LCM of 121, 407, 453, 145
• LCM of 849, 545, 536, 413
• LCM of 865, 916, 297, 789
• LCM of 488, 792, 821, 308
• LCM of 266, 749, 239, 182

1. What is the LCM of 824, 221, 343, 292?

Answer: LCM of 824, 221, 343, 292 is 4559702056.

2. How to calculate the LCM of 824, 221, 343, 292?

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 824, 221, 343, 292.

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}.