LCM of 221, 726, 638, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 726, 638, 403 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 221, 726, 638, 403. So, keep reading to learn more.
Given numbers are 221,726,638,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,726,638,403 is 144240954.
Find LCM of 221,726,638,403 with Prime Factorization
| 2 | 221, 726, 638, 403 |
| 11 | 221, 363, 319, 403 |
| 13 | 221, 33, 29, 403 |
| 17, 33, 29, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 17 x 33 x 29 x 31 = 144240954
Therefore, the lowest common multiple of 221,726,638,403 is 144240954.
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.
221 x 726 x 638 x 403 = 41252912844
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.
221 : 1, 13, 17, 221
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
638 : 1, 2, 11, 22, 29, 58, 319, 638
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,726,638,403, is 1.
Now, the common factors can be found like this.
221:13x 17
726:2x 3x 11x 11
638:2x 11x 29
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 41252912844/(1x286)
LCM = 41252912844/286
LCM = 144240954
Thus, we can understand that the LCM of 221,726,638,403 is 144240954.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 726, 638, 403
1. What is the LCM of 221, 726, 638, 403?
Answer: LCM of 221, 726, 638, 403 is 144240954.
2. How to calculate the LCM of 221, 726, 638, 403?
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 221, 726, 638, 403.
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}.