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LCM of 245, 286, 363, 649, 109

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


Find the LCM of 245, 286, 363, 649, 109 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 245, 286, 363, 649, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,286,363,649,109

Given numbers are 245,286,363,649,109

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

The LCM of 245,286,363,649,109 is 14870465610.

Find LCM of 245,286,363,649,109 with Prime Factorization


11 245, 286, 363, 649, 109
245, 26, 33, 59, 109

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

11 x 245 x 26 x 33 x 59 x 109 = 14870465610

Therefore, the lowest common multiple of 245,286,363,649,109 is 14870465610.

LCM Formula to Find Lowest Common Multiple of 245,286,363,649,109

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.

245 x 286 x 363 x 649 x 109 = 1799326338810

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.

245 : 1, 5, 7, 35, 49, 245

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

363 : 1, 3, 11, 33, 121, 363

649 : 1, 11, 59, 649

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,286,363,649,109, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

286:2x 11x 13

363:3x 11x 11

649:11x 59

109:109

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 1799326338810/(1x121)

LCM = 1799326338810/121

LCM = 14870465610

Thus, we can understand that the LCM of 245,286,363,649,109 is 14870465610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 286, 363, 649, 109

1. What is the LCM of 245, 286, 363, 649, 109?

Answer: LCM of 245, 286, 363, 649, 109 is 14870465610.

2. How to calculate the LCM of 245, 286, 363, 649, 109?

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 245, 286, 363, 649, 109.

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}.