LCM of 722, 284, 160, 309, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 284, 160, 309, 304 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 722, 284, 160, 309, 304. So, keep reading to learn more.
Given numbers are 722,284,160,309,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,284,160,309,304 is 1267196640.
Find LCM of 722,284,160,309,304 with Prime Factorization
| 2 | 722, 284, 160, 309, 304 |
| 2 | 361, 142, 80, 309, 152 |
| 2 | 361, 71, 40, 309, 76 |
| 2 | 361, 71, 20, 309, 38 |
| 19 | 361, 71, 10, 309, 19 |
| 1, 71, 10, 309, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 1 x 71 x 10 x 309 x 19 = 1267196640
Therefore, the lowest common multiple of 722,284,160,309,304 is 1267196640.
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.
722 x 284 x 160 x 309 x 304 = 3081822228480
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.
722 : 1, 2, 19, 38, 361, 722
284 : 1, 2, 4, 71, 142, 284
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
309 : 1, 3, 103, 309
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,284,160,309,304, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
284:2x 2x 71
160:2x 2x 2x 2x 2x 5
309:3x 103
304:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 19 = 2432
Therefore, the value for common factors is 2432.
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 = 3081822228480/(1x2432)
LCM = 3081822228480/2432
LCM = 1267196640
Thus, we can understand that the LCM of 722,284,160,309,304 is 1267196640.
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FAQs on LCM of 722, 284, 160, 309, 304
1. What is the LCM of 722, 284, 160, 309, 304?
Answer: LCM of 722, 284, 160, 309, 304 is 1267196640.
2. How to calculate the LCM of 722, 284, 160, 309, 304?
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 722, 284, 160, 309, 304.
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}.