Given numbers are 253,460,541,575

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

The LCM of 253,460,541,575 is 13687300.

Find LCM of 253,460,541,575 with Prime Factorization

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

5 x 23 x 11 x 4 x 541 x 5 = 13687300

Therefore, the lowest common multiple of 253,460,541,575 is 13687300.

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.

253 x 460 x 541 x 575 = 36202908500

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.

253 : 1, 11, 23, 253

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

541 : 1, 541

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,460,541,575, is 1.

Now, the common factors can be found like this.

253:11x 23

460:2x 2x 5x 23

541:541

575:5x 5x 23

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

5x 23x 23 = 2645

Therefore, the value for common factors is 2645.

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 = 36202908500/(1x2645)

LCM = 36202908500/2645

LCM = 13687300

Thus, we can understand that the LCM of 253,460,541,575 is 13687300.

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

• LCM of 200, 745, 423, 871
• LCM of 474, 659, 240, 987
• LCM of 839, 208, 376, 998
• LCM of 892, 446, 214, 462
• LCM of 899, 737, 385, 612

1. What is the LCM of 253, 460, 541, 575?

Answer: LCM of 253, 460, 541, 575 is 13687300.

2. How to calculate the LCM of 253, 460, 541, 575?

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 253, 460, 541, 575.

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}.