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LCM of 169, 914, 871, 455, 874

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


Find the LCM of 169, 914, 871, 455, 874 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 169, 914, 871, 455, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,914,871,455,874

Given numbers are 169,914,871,455,874

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

The LCM of 169,914,871,455,874 is 158291350490.

Find LCM of 169,914,871,455,874 with Prime Factorization


2 169, 914, 871, 455, 874
13 169, 457, 871, 455, 437
13, 457, 67, 35, 437

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

2 x 13 x 13 x 457 x 67 x 35 x 437 = 158291350490

Therefore, the lowest common multiple of 169,914,871,455,874 is 158291350490.

LCM Formula to Find Lowest Common Multiple of 169,914,871,455,874

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.

169 x 914 x 871 x 455 x 874 = 53502476465620

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.

169 : 1, 13, 169

914 : 1, 2, 457, 914

871 : 1, 13, 67, 871

455 : 1, 5, 7, 13, 35, 65, 91, 455

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,914,871,455,874, is 1.

Now, the common factors can be found like this.

169:13x 13

914:2x 457

871:13x 67

455:5x 7x 13

874:2x 19x 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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 53502476465620/(1x338)

LCM = 53502476465620/338

LCM = 158291350490

Thus, we can understand that the LCM of 169,914,871,455,874 is 158291350490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 914, 871, 455, 874

1. What is the LCM of 169, 914, 871, 455, 874?

Answer: LCM of 169, 914, 871, 455, 874 is 158291350490.

2. How to calculate the LCM of 169, 914, 871, 455, 874?

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 169, 914, 871, 455, 874.

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}.