Given numbers are 297,583,419

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

The LCM of 297,583,419 is 6595479.

Find LCM of 297,583,419 with Prime Factorization

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

11 x 27 x 53 x 419 = 6595479

Therefore, the lowest common multiple of 297,583,419 is 6595479.

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.

297 x 583 x 419 = 72550269

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

583 : 1, 11, 53, 583

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,583,419, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

583:11x 53

419:419

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 = 72550269/(1x11)

LCM = 72550269/11

LCM = 6595479

Thus, we can understand that the LCM of 297,583,419 is 6595479.

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

• LCM of 185, 456, 731
• LCM of 450, 135, 945
• LCM of 364, 762, 900
• LCM of 567, 776, 480
• LCM of 328, 897, 209

1. What is the LCM of 297, 583, 419?

Answer: LCM of 297, 583, 419 is 6595479.

2. How to calculate the LCM of 297, 583, 419?

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 297, 583, 419.

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}.