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LCM of 253, 845, 286, 427

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 253, 845, 286, 427 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 253, 845, 286, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,845,286,427

Given numbers are 253,845,286,427

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

The LCM of 253,845,286,427 is 182572390.

Find LCM of 253,845,286,427 with Prime Factorization


11 253, 845, 286, 427
13 23, 845, 26, 427
23, 65, 2, 427

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

11 x 13 x 23 x 65 x 2 x 427 = 182572390

Therefore, the lowest common multiple of 253,845,286,427 is 182572390.

LCM Formula to Find Lowest Common Multiple of 253,845,286,427

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 845 x 286 x 427 = 26107851770

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

845 : 1, 5, 13, 65, 169, 845

286 : 1, 2, 11, 13, 22, 26, 143, 286

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,845,286,427, is 1.

Now, the common factors can be found like this.

253:11x 23

845:5x 13x 13

286:2x 11x 13

427:7x 61

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 26107851770/(1x143)

LCM = 26107851770/143

LCM = 182572390

Thus, we can understand that the LCM of 253,845,286,427 is 182572390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 845, 286, 427

1. What is the LCM of 253, 845, 286, 427?

Answer: LCM of 253, 845, 286, 427 is 182572390.

2. How to calculate the LCM of 253, 845, 286, 427?

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, 845, 286, 427.

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}.