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LCM of 164, 542, 528, 880

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


Find the LCM of 164, 542, 528, 880 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, 542, 528, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,542,528,880

Given numbers are 164,542,528,880

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

The LCM of 164,542,528,880 is 29333040.

Find LCM of 164,542,528,880 with Prime Factorization


2 164, 542, 528, 880
2 82, 271, 264, 440
2 41, 271, 132, 220
2 41, 271, 66, 110
11 41, 271, 33, 55
41, 271, 3, 5

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

2 x 2 x 2 x 2 x 11 x 41 x 271 x 3 x 5 = 29333040

Therefore, the lowest common multiple of 164,542,528,880 is 29333040.

LCM Formula to Find Lowest Common Multiple of 164,542,528,880

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 542 x 528 x 880 = 41300920320

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

542 : 1, 2, 271, 542

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,542,528,880, is 2.

Now, the common factors can be found like this.

164:2x 2x 41

542:2x 271

528:2x 2x 2x 2x 3x 11

880:2x 2x 2x 2x 5x 11

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 2x 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 41300920320/(2x704)

LCM = 41300920320/1408

LCM = 29333040

Thus, we can understand that the LCM of 164,542,528,880 is 29333040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 542, 528, 880

1. What is the LCM of 164, 542, 528, 880?

Answer: LCM of 164, 542, 528, 880 is 29333040.

2. How to calculate the LCM of 164, 542, 528, 880?

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, 542, 528, 880.

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}.