Given numbers are 748,296,364,409

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

The LCM of 748,296,364,409 is 2060146088.

Find LCM of 748,296,364,409 with Prime Factorization

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

2 x 2 x 187 x 74 x 91 x 409 = 2060146088

Therefore, the lowest common multiple of 748,296,364,409 is 2060146088.

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.

748 x 296 x 364 x 409 = 32962337408

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,296,364,409, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

296:2x 2x 2x 37

364:2x 2x 7x 13

409:409

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 2 = 16

Therefore, the value for common factors is 16.

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 = 32962337408/(1x16)

LCM = 32962337408/16

LCM = 2060146088

Thus, we can understand that the LCM of 748,296,364,409 is 2060146088.

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

• LCM of 723, 559, 934, 704
• LCM of 510, 988, 865, 121
• LCM of 340, 882, 954, 790
• LCM of 903, 834, 795, 799
• LCM of 785, 207, 811, 658

1. What is the LCM of 748, 296, 364, 409?

Answer: LCM of 748, 296, 364, 409 is 2060146088.

2. How to calculate the LCM of 748, 296, 364, 409?

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 748, 296, 364, 409.

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}.