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LCM of 188, 276, 805, 117, 482

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


Find the LCM of 188, 276, 805, 117, 482 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 188, 276, 805, 117, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,276,805,117,482

Given numbers are 188,276,805,117,482

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

The LCM of 188,276,805,117,482 is 4267333980.

Find LCM of 188,276,805,117,482 with Prime Factorization


2 188, 276, 805, 117, 482
2 94, 138, 805, 117, 241
3 47, 69, 805, 117, 241
23 47, 23, 805, 39, 241
47, 1, 35, 39, 241

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

2 x 2 x 3 x 23 x 47 x 1 x 35 x 39 x 241 = 4267333980

Therefore, the lowest common multiple of 188,276,805,117,482 is 4267333980.

LCM Formula to Find Lowest Common Multiple of 188,276,805,117,482

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.

188 x 276 x 805 x 117 x 482 = 2355568356960

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.

188 : 1, 2, 4, 47, 94, 188

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

805 : 1, 5, 7, 23, 35, 115, 161, 805

117 : 1, 3, 9, 13, 39, 117

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,276,805,117,482, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

276:2x 2x 3x 23

805:5x 7x 23

117:3x 3x 13

482:2x 241

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 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 2355568356960/(1x552)

LCM = 2355568356960/552

LCM = 4267333980

Thus, we can understand that the LCM of 188,276,805,117,482 is 4267333980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 276, 805, 117, 482

1. What is the LCM of 188, 276, 805, 117, 482?

Answer: LCM of 188, 276, 805, 117, 482 is 4267333980.

2. How to calculate the LCM of 188, 276, 805, 117, 482?

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 188, 276, 805, 117, 482.

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}.