Given numbers are 422,511,506,924,253

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

The LCM of 422,511,506,924,253 is 327344556.

Find LCM of 422,511,506,924,253 with Prime Factorization

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

2 x 7 x 11 x 23 x 211 x 73 x 1 x 6 x 1 = 327344556

Therefore, the lowest common multiple of 422,511,506,924,253 is 327344556.

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.

422 x 511 x 506 x 924 x 253 = 25507997181744

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.

422 : 1, 2, 211, 422

511 : 1, 7, 73, 511

506 : 1, 2, 11, 22, 23, 46, 253, 506

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,511,506,924,253, is 1.

Now, the common factors can be found like this.

422:2x 211

511:7x 73

506:2x 11x 23

924:2x 2x 3x 7x 11

253:11x 23

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 7x 11x 11x 23 = 77924

Therefore, the value for common factors is 77924.

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 = 25507997181744/(1x77924)

LCM = 25507997181744/77924

LCM = 327344556

Thus, we can understand that the LCM of 422,511,506,924,253 is 327344556.

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

• LCM of 402, 767, 155, 806, 836
• LCM of 333, 356, 993, 195, 956
• LCM of 275, 281, 207, 813, 742
• LCM of 416, 938, 779, 696, 347
• LCM of 108, 766, 941, 546, 934

1. What is the LCM of 422, 511, 506, 924, 253?

Answer: LCM of 422, 511, 506, 924, 253 is 327344556.

2. How to calculate the LCM of 422, 511, 506, 924, 253?

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 422, 511, 506, 924, 253.

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}.