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LCM of 914, 901, 777, 212

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


Find the LCM of 914, 901, 777, 212 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, 901, 777, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,901,777,212

Given numbers are 914,901,777,212

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

The LCM of 914,901,777,212 is 1279740756.

Find LCM of 914,901,777,212 with Prime Factorization


2 914, 901, 777, 212
53 457, 901, 777, 106
457, 17, 777, 2

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

2 x 53 x 457 x 17 x 777 x 2 = 1279740756

Therefore, the lowest common multiple of 914,901,777,212 is 1279740756.

LCM Formula to Find Lowest Common Multiple of 914,901,777,212

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 901 x 777 x 212 = 135652520136

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

901 : 1, 17, 53, 901

777 : 1, 3, 7, 21, 37, 111, 259, 777

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,901,777,212, is 1.

Now, the common factors can be found like this.

914:2x 457

901:17x 53

777:3x 7x 37

212:2x 2x 53

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 135652520136/(1x106)

LCM = 135652520136/106

LCM = 1279740756

Thus, we can understand that the LCM of 914,901,777,212 is 1279740756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 901, 777, 212

1. What is the LCM of 914, 901, 777, 212?

Answer: LCM of 914, 901, 777, 212 is 1279740756.

2. How to calculate the LCM of 914, 901, 777, 212?

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, 901, 777, 212.

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}.