Given numbers are 935,748,409

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

The LCM of 935,748,409 is 1529660.

Find LCM of 935,748,409 with Prime Factorization

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

11 x 17 x 5 x 4 x 409 = 1529660

Therefore, the lowest common multiple of 935,748,409 is 1529660.

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.

935 x 748 x 409 = 286046420

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,748,409, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

748:2x 2x 11x 17

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.

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 286046420/(1x187)

LCM = 286046420/187

LCM = 1529660

Thus, we can understand that the LCM of 935,748,409 is 1529660.

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

• LCM of 746, 458, 888
• LCM of 371, 706, 665
• LCM of 698, 940, 413
• LCM of 939, 184, 425
• LCM of 825, 538, 941

1. What is the LCM of 935, 748, 409?

Answer: LCM of 935, 748, 409 is 1529660.

2. How to calculate the LCM of 935, 748, 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 935, 748, 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}.