LCM of 380, 456, 684, 801, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 456, 684, 801, 322 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, 456, 684, 801, 322. So, keep reading to learn more.
Given numbers are 380,456,684,801,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,456,684,801,322 is 98010360.
Find LCM of 380,456,684,801,322 with Prime Factorization
| 2 | 380, 456, 684, 801, 322 |
| 2 | 190, 228, 342, 801, 161 |
| 3 | 95, 114, 171, 801, 161 |
| 3 | 95, 38, 57, 267, 161 |
| 19 | 95, 38, 19, 89, 161 |
| 5, 2, 1, 89, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 5 x 2 x 1 x 89 x 161 = 98010360
Therefore, the lowest common multiple of 380,456,684,801,322 is 98010360.
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 456 x 684 x 801 x 322 = 30569823325440
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
801 : 1, 3, 9, 89, 267, 801
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,456,684,801,322, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
456:2x 2x 2x 3x 19
684:2x 2x 3x 3x 19
801:3x 3x 89
322:2x 7x 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 2x 2x 2x 3x 3x 3x 19x 19 = 311904
Therefore, the value for common factors is 311904.
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 = 30569823325440/(1x311904)
LCM = 30569823325440/311904
LCM = 98010360
Thus, we can understand that the LCM of 380,456,684,801,322 is 98010360.
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FAQs on LCM of 380, 456, 684, 801, 322
1. What is the LCM of 380, 456, 684, 801, 322?
Answer: LCM of 380, 456, 684, 801, 322 is 98010360.
2. How to calculate the LCM of 380, 456, 684, 801, 322?
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, 456, 684, 801, 322.
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}.