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LCM of 667, 542, 622, 538

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


Find the LCM of 667, 542, 622, 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 667, 542, 622, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,542,622,538

Given numbers are 667,542,622,538

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

The LCM of 667,542,622,538 is 30243899726.

Find LCM of 667,542,622,538 with Prime Factorization


2 667, 542, 622, 538
667, 271, 311, 269

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

2 x 667 x 271 x 311 x 269 = 30243899726

Therefore, the lowest common multiple of 667,542,622,538 is 30243899726.

LCM Formula to Find Lowest Common Multiple of 667,542,622,538

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.

667 x 542 x 622 x 538 = 120975598904

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.

667 : 1, 23, 29, 667

542 : 1, 2, 271, 542

622 : 1, 2, 311, 622

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,542,622,538, is 1.

Now, the common factors can be found like this.

667:23x 29

542:2x 271

622:2x 311

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 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 = 120975598904/(1x4)

LCM = 120975598904/4

LCM = 30243899726

Thus, we can understand that the LCM of 667,542,622,538 is 30243899726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 542, 622, 538

1. What is the LCM of 667, 542, 622, 538?

Answer: LCM of 667, 542, 622, 538 is 30243899726.

2. How to calculate the LCM of 667, 542, 622, 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 667, 542, 622, 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}.