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LCM of 418, 442, 277, 812

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


Find the LCM of 418, 442, 277, 812 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 418, 442, 277, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,442,277,812

Given numbers are 418,442,277,812

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

The LCM of 418,442,277,812 is 10389014636.

Find LCM of 418,442,277,812 with Prime Factorization


2 418, 442, 277, 812
209, 221, 277, 406

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

2 x 209 x 221 x 277 x 406 = 10389014636

Therefore, the lowest common multiple of 418,442,277,812 is 10389014636.

LCM Formula to Find Lowest Common Multiple of 418,442,277,812

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.

418 x 442 x 277 x 812 = 41556058544

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

442 : 1, 2, 13, 17, 26, 34, 221, 442

277 : 1, 277

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,442,277,812, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

442:2x 13x 17

277:277

812:2x 2x 7x 29

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 = 41556058544/(1x4)

LCM = 41556058544/4

LCM = 10389014636

Thus, we can understand that the LCM of 418,442,277,812 is 10389014636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 442, 277, 812

1. What is the LCM of 418, 442, 277, 812?

Answer: LCM of 418, 442, 277, 812 is 10389014636.

2. How to calculate the LCM of 418, 442, 277, 812?

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 418, 442, 277, 812.

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}.