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LCM of 946, 514, 914, 365

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


Find the LCM of 946, 514, 914, 365 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 946, 514, 914, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,514,914,365

Given numbers are 946,514,914,365

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

The LCM of 946,514,914,365 is 40553965210.

Find LCM of 946,514,914,365 with Prime Factorization


2 946, 514, 914, 365
473, 257, 457, 365

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

2 x 473 x 257 x 457 x 365 = 40553965210

Therefore, the lowest common multiple of 946,514,914,365 is 40553965210.

LCM Formula to Find Lowest Common Multiple of 946,514,914,365

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.

946 x 514 x 914 x 365 = 162215860840

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

514 : 1, 2, 257, 514

914 : 1, 2, 457, 914

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,514,914,365, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

514:2x 257

914:2x 457

365:5x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 162215860840/(1x4)

LCM = 162215860840/4

LCM = 40553965210

Thus, we can understand that the LCM of 946,514,914,365 is 40553965210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 514, 914, 365

1. What is the LCM of 946, 514, 914, 365?

Answer: LCM of 946, 514, 914, 365 is 40553965210.

2. How to calculate the LCM of 946, 514, 914, 365?

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 946, 514, 914, 365.

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}.