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LCM of 164, 541, 533, 542

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


Find the LCM of 164, 541, 533, 542 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 164, 541, 533, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,541,533,542

Given numbers are 164,541,533,542

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

The LCM of 164,541,533,542 is 312574652.

Find LCM of 164,541,533,542 with Prime Factorization


2 164, 541, 533, 542
41 82, 541, 533, 271
2, 541, 13, 271

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

2 x 41 x 2 x 541 x 13 x 271 = 312574652

Therefore, the lowest common multiple of 164,541,533,542 is 312574652.

LCM Formula to Find Lowest Common Multiple of 164,541,533,542

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.

164 x 541 x 533 x 542 = 25631121464

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.

164 : 1, 2, 4, 41, 82, 164

541 : 1, 541

533 : 1, 13, 41, 533

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,541,533,542, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

541:541

533:13x 41

542:2x 271

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 25631121464/(1x82)

LCM = 25631121464/82

LCM = 312574652

Thus, we can understand that the LCM of 164,541,533,542 is 312574652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 541, 533, 542

1. What is the LCM of 164, 541, 533, 542?

Answer: LCM of 164, 541, 533, 542 is 312574652.

2. How to calculate the LCM of 164, 541, 533, 542?

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 164, 541, 533, 542.

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}.