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LCM of 224, 682, 814, 538

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


Find the LCM of 224, 682, 814, 538 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 224, 682, 814, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,682,814,538

Given numbers are 224,682,814,538

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

The LCM of 224,682,814,538 is 760249952.

Find LCM of 224,682,814,538 with Prime Factorization


2 224, 682, 814, 538
11 112, 341, 407, 269
112, 31, 37, 269

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

2 x 11 x 112 x 31 x 37 x 269 = 760249952

Therefore, the lowest common multiple of 224,682,814,538 is 760249952.

LCM Formula to Find Lowest Common Multiple of 224,682,814,538

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.

224 x 682 x 814 x 538 = 66901995776

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

682 : 1, 2, 11, 22, 31, 62, 341, 682

814 : 1, 2, 11, 22, 37, 74, 407, 814

538 : 1, 2, 269, 538

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,682,814,538, is 2.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

682:2x 11x 31

814:2x 11x 37

538:2x 269

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 66901995776/(2x44)

LCM = 66901995776/88

LCM = 760249952

Thus, we can understand that the LCM of 224,682,814,538 is 760249952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 682, 814, 538

1. What is the LCM of 224, 682, 814, 538?

Answer: LCM of 224, 682, 814, 538 is 760249952.

2. How to calculate the LCM of 224, 682, 814, 538?

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 224, 682, 814, 538.

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}.