Given numbers are 535,107,460,19

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

The LCM of 535,107,460,19 is 935180.

Find LCM of 535,107,460,19 with Prime Factorization

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

5 x 107 x 1 x 1 x 92 x 19 = 935180

Therefore, the lowest common multiple of 535,107,460,19 is 935180.

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 107 x 460 x 19 = 500321300

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

107 : 1, 107

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,107,460,19, is 1.

Now, the common factors can be found like this.

535:5x 107

107:107

460:2x 2x 5x 23

19:19

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

5x 107 = 535

Therefore, the value for common factors is 535.

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 = 500321300/(1x535)

LCM = 500321300/535

LCM = 935180

Thus, we can understand that the LCM of 535,107,460,19 is 935180.

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

• LCM of 246, 702, 758, 11
• LCM of 508, 750, 758, 96
• LCM of 305, 279, 854, 76
• LCM of 280, 342, 166, 66
• LCM of 127, 654, 935, 45

1. What is the LCM of 535, 107, 460, 19?

Answer: LCM of 535, 107, 460, 19 is 935180.

2. How to calculate the LCM of 535, 107, 460, 19?

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, 107, 460, 19.

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}.