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LCM of 914, 731, 901, 194

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


Find the LCM of 914, 731, 901, 194 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 914, 731, 901, 194. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,731,901,194

Given numbers are 914,731,901,194

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

The LCM of 914,731,901,194 is 3434876894.

Find LCM of 914,731,901,194 with Prime Factorization


2 914, 731, 901, 194
17 457, 731, 901, 97
457, 43, 53, 97

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

2 x 17 x 457 x 43 x 53 x 97 = 3434876894

Therefore, the lowest common multiple of 914,731,901,194 is 3434876894.

LCM Formula to Find Lowest Common Multiple of 914,731,901,194

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.

914 x 731 x 901 x 194 = 116785814396

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.

914 : 1, 2, 457, 914

731 : 1, 17, 43, 731

901 : 1, 17, 53, 901

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,731,901,194, is 1.

Now, the common factors can be found like this.

914:2x 457

731:17x 43

901:17x 53

194:2x 97

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 116785814396/(1x34)

LCM = 116785814396/34

LCM = 3434876894

Thus, we can understand that the LCM of 914,731,901,194 is 3434876894.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 731, 901, 194

1. What is the LCM of 914, 731, 901, 194?

Answer: LCM of 914, 731, 901, 194 is 3434876894.

2. How to calculate the LCM of 914, 731, 901, 194?

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 914, 731, 901, 194.

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}.