Given numbers are 422,270,296,762,753

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

The LCM of 422,270,296,762,753 is 268772838120.

Find LCM of 422,270,296,762,753 with Prime Factorization

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

2 x 3 x 211 x 45 x 148 x 127 x 251 = 268772838120

Therefore, the lowest common multiple of 422,270,296,762,753 is 268772838120.

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 270 x 296 x 762 x 753 = 19351644344640

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

296 : 1, 2, 4, 8, 37, 74, 148, 296

762 : 1, 2, 3, 6, 127, 254, 381, 762

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,270,296,762,753, is 1.

Now, the common factors can be found like this.

422:2x 211

270:2x 3x 3x 3x 5

296:2x 2x 2x 37

762:2x 3x 127

753:3x 251

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 19351644344640/(1x72)

LCM = 19351644344640/72

LCM = 268772838120

Thus, we can understand that the LCM of 422,270,296,762,753 is 268772838120.

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

• LCM of 904, 699, 375, 502, 175
• LCM of 939, 669, 749, 743, 819
• LCM of 411, 496, 743, 156, 628
• LCM of 676, 180, 218, 168, 403
• LCM of 174, 876, 217, 708, 303

1. What is the LCM of 422, 270, 296, 762, 753?

Answer: LCM of 422, 270, 296, 762, 753 is 268772838120.

2. How to calculate the LCM of 422, 270, 296, 762, 753?

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, 270, 296, 762, 753.

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}.