Given numbers are 409,407,419,924

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

The LCM of 409,407,419,924 is 5858831748.

Find LCM of 409,407,419,924 with Prime Factorization

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

11 x 409 x 37 x 419 x 84 = 5858831748

Therefore, the lowest common multiple of 409,407,419,924 is 5858831748.

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.

409 x 407 x 419 x 924 = 64447149228

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.

409 : 1, 409

407 : 1, 11, 37, 407

419 : 1, 419

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,407,419,924, is 1.

Now, the common factors can be found like this.

409:409

407:11x 37

419:419

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 64447149228/(1x11)

LCM = 64447149228/11

LCM = 5858831748

Thus, we can understand that the LCM of 409,407,419,924 is 5858831748.

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

• LCM of 868, 245, 820, 145
• LCM of 969, 886, 166, 433
• LCM of 624, 130, 333, 116
• LCM of 261, 838, 684, 259
• LCM of 270, 179, 829, 110

1. What is the LCM of 409, 407, 419, 924?

Answer: LCM of 409, 407, 419, 924 is 5858831748.

2. How to calculate the LCM of 409, 407, 419, 924?

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 409, 407, 419, 924.

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}.