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LCM of 394, 560, 217, 582, 276

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


Find the LCM of 394, 560, 217, 582, 276 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 394, 560, 217, 582, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,560,217,582,276

Given numbers are 394,560,217,582,276

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

The LCM of 394,560,217,582,276 is 22889524560.

Find LCM of 394,560,217,582,276 with Prime Factorization


2 394, 560, 217, 582, 276
2 197, 280, 217, 291, 138
3 197, 140, 217, 291, 69
7 197, 140, 217, 97, 23
197, 20, 31, 97, 23

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

2 x 2 x 3 x 7 x 197 x 20 x 31 x 97 x 23 = 22889524560

Therefore, the lowest common multiple of 394,560,217,582,276 is 22889524560.

LCM Formula to Find Lowest Common Multiple of 394,560,217,582,276

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.

394 x 560 x 217 x 582 x 276 = 7690880252160

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.

394 : 1, 2, 197, 394

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

217 : 1, 7, 31, 217

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,560,217,582,276, is 1.

Now, the common factors can be found like this.

394:2x 197

560:2x 2x 2x 2x 5x 7

217:7x 31

582:2x 3x 97

276:2x 2x 3x 23

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 7690880252160/(1x336)

LCM = 7690880252160/336

LCM = 22889524560

Thus, we can understand that the LCM of 394,560,217,582,276 is 22889524560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 560, 217, 582, 276

1. What is the LCM of 394, 560, 217, 582, 276?

Answer: LCM of 394, 560, 217, 582, 276 is 22889524560.

2. How to calculate the LCM of 394, 560, 217, 582, 276?

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 394, 560, 217, 582, 276.

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}.