Given numbers are 535,124,214,459

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

The LCM of 535,124,214,459 is 30450060.

Find LCM of 535,124,214,459 with Prime Factorization

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

2 x 107 x 5 x 62 x 1 x 459 = 30450060

Therefore, the lowest common multiple of 535,124,214,459 is 30450060.

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.

535 x 124 x 214 x 459 = 6516312840

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.

535 : 1, 5, 107, 535

124 : 1, 2, 4, 31, 62, 124

214 : 1, 2, 107, 214

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,124,214,459, is 1.

Now, the common factors can be found like this.

535:5x 107

124:2x 2x 31

214:2x 107

459:3x 3x 3x 17

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 6516312840/(1x214)

LCM = 6516312840/214

LCM = 30450060

Thus, we can understand that the LCM of 535,124,214,459 is 30450060.

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

• LCM of 417, 871, 672, 867
• LCM of 229, 912, 759, 411
• LCM of 152, 753, 200, 626
• LCM of 354, 772, 938, 191
• LCM of 145, 175, 445, 300

1. What is the LCM of 535, 124, 214, 459?

Answer: LCM of 535, 124, 214, 459 is 30450060.

2. How to calculate the LCM of 535, 124, 214, 459?

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 535, 124, 214, 459.

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}.