Given numbers are 202,261,278,224

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

The LCM of 202,261,278,224 is 820776096.

Find LCM of 202,261,278,224 with Prime Factorization

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

2 x 101 x 261 x 139 x 112 = 820776096

Therefore, the lowest common multiple of 202,261,278,224 is 820776096.

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.

202 x 261 x 278 x 224 = 3283104384

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.

202 : 1, 2, 101, 202

261 : 1, 3, 9, 29, 87, 261

278 : 1, 2, 139, 278

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,261,278,224, is 1.

Now, the common factors can be found like this.

202:2x 101

261:3x 3x 29

278:2x 139

224:2x 2x 2x 2x 2x 7

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 = 3283104384/(1x4)

LCM = 3283104384/4

LCM = 820776096

Thus, we can understand that the LCM of 202,261,278,224 is 820776096.

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

• LCM of 788, 330, 593, 930
• LCM of 184, 722, 758, 982
• LCM of 863, 754, 750, 825
• LCM of 396, 854, 184, 827
• LCM of 573, 683, 480, 707

1. What is the LCM of 202, 261, 278, 224?

Answer: LCM of 202, 261, 278, 224 is 820776096.

2. How to calculate the LCM of 202, 261, 278, 224?

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 202, 261, 278, 224.

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}.