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LCM of 276, 452, 445, 388, 358

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


Find the LCM of 276, 452, 445, 388, 358 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 276, 452, 445, 388, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,452,445,388,358

Given numbers are 276,452,445,388,358

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

The LCM of 276,452,445,388,358 is 240975173580.

Find LCM of 276,452,445,388,358 with Prime Factorization


2 276, 452, 445, 388, 358
2 138, 226, 445, 194, 179
69, 113, 445, 97, 179

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

2 x 2 x 69 x 113 x 445 x 97 x 179 = 240975173580

Therefore, the lowest common multiple of 276,452,445,388,358 is 240975173580.

LCM Formula to Find Lowest Common Multiple of 276,452,445,388,358

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.

276 x 452 x 445 x 388 x 358 = 7711205554560

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.

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

452 : 1, 2, 4, 113, 226, 452

445 : 1, 5, 89, 445

388 : 1, 2, 4, 97, 194, 388

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,452,445,388,358, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

452:2x 2x 113

445:5x 89

388:2x 2x 97

358:2x 179

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 2 = 32

Therefore, the value for common factors is 32.

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 = 7711205554560/(1x32)

LCM = 7711205554560/32

LCM = 240975173580

Thus, we can understand that the LCM of 276,452,445,388,358 is 240975173580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 452, 445, 388, 358

1. What is the LCM of 276, 452, 445, 388, 358?

Answer: LCM of 276, 452, 445, 388, 358 is 240975173580.

2. How to calculate the LCM of 276, 452, 445, 388, 358?

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 276, 452, 445, 388, 358.

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}.