Given numbers are 253,142,575,414

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

The LCM of 253,142,575,414 is 8083350.

Find LCM of 253,142,575,414 with Prime Factorization

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

2 x 23 x 11 x 71 x 25 x 9 = 8083350

Therefore, the lowest common multiple of 253,142,575,414 is 8083350.

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 142 x 575 x 414 = 8552184300

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

142 : 1, 2, 71, 142

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,142,575,414, is 1.

Now, the common factors can be found like this.

253:11x 23

142:2x 71

575:5x 5x 23

414:2x 3x 3x 23

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 8552184300/(1x1058)

LCM = 8552184300/1058

LCM = 8083350

Thus, we can understand that the LCM of 253,142,575,414 is 8083350.

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

• LCM of 317, 215, 230, 939
• LCM of 225, 825, 369, 244
• LCM of 410, 703, 742, 572
• LCM of 146, 490, 503, 404
• LCM of 825, 880, 855, 425

1. What is the LCM of 253, 142, 575, 414?

Answer: LCM of 253, 142, 575, 414 is 8083350.

2. How to calculate the LCM of 253, 142, 575, 414?

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, 142, 575, 414.

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}.