LCM of 380, 441, 681, 565, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 441, 681, 565, 828 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, 441, 681, 565, 828. So, keep reading to learn more.
Given numbers are 380,441,681,565,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,441,681,565,828 is 98867675340.
Find LCM of 380,441,681,565,828 with Prime Factorization
| 2 | 380, 441, 681, 565, 828 |
| 2 | 190, 441, 681, 565, 414 |
| 3 | 95, 441, 681, 565, 207 |
| 3 | 95, 147, 227, 565, 69 |
| 5 | 95, 49, 227, 565, 23 |
| 19, 49, 227, 113, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 49 x 227 x 113 x 23 = 98867675340
Therefore, the lowest common multiple of 380,441,681,565,828 is 98867675340.
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 441 x 681 x 565 x 828 = 53388544683600
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
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
681 : 1, 3, 227, 681
565 : 1, 5, 113, 565
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,441,681,565,828, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
441:3x 3x 7x 7
681:3x 227
565:5x 113
828:2x 2x 3x 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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 53388544683600/(1x540)
LCM = 53388544683600/540
LCM = 98867675340
Thus, we can understand that the LCM of 380,441,681,565,828 is 98867675340.
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FAQs on LCM of 380, 441, 681, 565, 828
1. What is the LCM of 380, 441, 681, 565, 828?
Answer: LCM of 380, 441, 681, 565, 828 is 98867675340.
2. How to calculate the LCM of 380, 441, 681, 565, 828?
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, 441, 681, 565, 828.
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}.