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LCM of 676, 286, 219, 559, 263

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


Find the LCM of 676, 286, 219, 559, 263 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 676, 286, 219, 559, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,286,219,559,263

Given numbers are 676,286,219,559,263

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

The LCM of 676,286,219,559,263 is 18416525556.

Find LCM of 676,286,219,559,263 with Prime Factorization


2 676, 286, 219, 559, 263
13 338, 143, 219, 559, 263
26, 11, 219, 43, 263

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

2 x 13 x 26 x 11 x 219 x 43 x 263 = 18416525556

Therefore, the lowest common multiple of 676,286,219,559,263 is 18416525556.

LCM Formula to Find Lowest Common Multiple of 676,286,219,559,263

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.

676 x 286 x 219 x 559 x 263 = 6224785637928

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

286 : 1, 2, 11, 13, 22, 26, 143, 286

219 : 1, 3, 73, 219

559 : 1, 13, 43, 559

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,286,219,559,263, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

286:2x 11x 13

219:3x 73

559:13x 43

263:263

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 6224785637928/(1x338)

LCM = 6224785637928/338

LCM = 18416525556

Thus, we can understand that the LCM of 676,286,219,559,263 is 18416525556.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 286, 219, 559, 263

1. What is the LCM of 676, 286, 219, 559, 263?

Answer: LCM of 676, 286, 219, 559, 263 is 18416525556.

2. How to calculate the LCM of 676, 286, 219, 559, 263?

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 676, 286, 219, 559, 263.

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}.