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LCM of 253, 665, 814, 722, 129

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


Find the LCM of 253, 665, 814, 722, 129 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, 665, 814, 722, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,665,814,722,129

Given numbers are 253,665,814,722,129

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

The LCM of 253,665,814,722,129 is 30515268630.

Find LCM of 253,665,814,722,129 with Prime Factorization


2 253, 665, 814, 722, 129
11 253, 665, 407, 361, 129
19 23, 665, 37, 361, 129
23, 35, 37, 19, 129

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

2 x 11 x 19 x 23 x 35 x 37 x 19 x 129 = 30515268630

Therefore, the lowest common multiple of 253,665,814,722,129 is 30515268630.

LCM Formula to Find Lowest Common Multiple of 253,665,814,722,129

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 665 x 814 x 722 x 129 = 12755382287340

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

665 : 1, 5, 7, 19, 35, 95, 133, 665

814 : 1, 2, 11, 22, 37, 74, 407, 814

722 : 1, 2, 19, 38, 361, 722

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,665,814,722,129, is 1.

Now, the common factors can be found like this.

253:11x 23

665:5x 7x 19

814:2x 11x 37

722:2x 19x 19

129:3x 43

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 12755382287340/(1x418)

LCM = 12755382287340/418

LCM = 30515268630

Thus, we can understand that the LCM of 253,665,814,722,129 is 30515268630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 665, 814, 722, 129

1. What is the LCM of 253, 665, 814, 722, 129?

Answer: LCM of 253, 665, 814, 722, 129 is 30515268630.

2. How to calculate the LCM of 253, 665, 814, 722, 129?

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, 665, 814, 722, 129.

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}.