LCM of 380, 458, 401, 553, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 458, 401, 553, 266 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 380, 458, 401, 553, 266. So, keep reading to learn more.
Given numbers are 380,458,401,553,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,458,401,553,266 is 19296946060.
Find LCM of 380,458,401,553,266 with Prime Factorization
| 2 | 380, 458, 401, 553, 266 |
| 7 | 190, 229, 401, 553, 133 |
| 19 | 190, 229, 401, 79, 19 |
| 10, 229, 401, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 10 x 229 x 401 x 79 x 1 = 19296946060
Therefore, the lowest common multiple of 380,458,401,553,266 is 19296946060.
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.
380 x 458 x 401 x 553 x 266 = 10265975303920
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
458 : 1, 2, 229, 458
401 : 1, 401
553 : 1, 7, 79, 553
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,458,401,553,266, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
458:2x 229
401:401
553:7x 79
266:2x 7x 19
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 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 10265975303920/(1x532)
LCM = 10265975303920/532
LCM = 19296946060
Thus, we can understand that the LCM of 380,458,401,553,266 is 19296946060.
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FAQs on LCM of 380, 458, 401, 553, 266
1. What is the LCM of 380, 458, 401, 553, 266?
Answer: LCM of 380, 458, 401, 553, 266 is 19296946060.
2. How to calculate the LCM of 380, 458, 401, 553, 266?
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 380, 458, 401, 553, 266.
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}.