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LCM of 397, 260, 364, 694, 276

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


Find the LCM of 397, 260, 364, 694, 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 397, 260, 364, 694, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,260,364,694,276

Given numbers are 397,260,364,694,276

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

The LCM of 397,260,364,694,276 is 17299775220.

Find LCM of 397,260,364,694,276 with Prime Factorization


2 397, 260, 364, 694, 276
2 397, 130, 182, 347, 138
13 397, 65, 91, 347, 69
397, 5, 7, 347, 69

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

2 x 2 x 13 x 397 x 5 x 7 x 347 x 69 = 17299775220

Therefore, the lowest common multiple of 397,260,364,694,276 is 17299775220.

LCM Formula to Find Lowest Common Multiple of 397,260,364,694,276

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.

397 x 260 x 364 x 694 x 276 = 7196706491520

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.

397 : 1, 397

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

694 : 1, 2, 347, 694

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 397,260,364,694,276, is 1.

Now, the common factors can be found like this.

397:397

260:2x 2x 5x 13

364:2x 2x 7x 13

694:2x 347

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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 7196706491520/(1x416)

LCM = 7196706491520/416

LCM = 17299775220

Thus, we can understand that the LCM of 397,260,364,694,276 is 17299775220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 260, 364, 694, 276

1. What is the LCM of 397, 260, 364, 694, 276?

Answer: LCM of 397, 260, 364, 694, 276 is 17299775220.

2. How to calculate the LCM of 397, 260, 364, 694, 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 397, 260, 364, 694, 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}.