LCM of 224, 644, 917, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 644, 917, 160 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 224, 644, 917, 160. So, keep reading to learn more.
Given numbers are 224,644,917,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,644,917,160 is 3374560.
Find LCM of 224,644,917,160 with Prime Factorization
| 2 | 224, 644, 917, 160 |
| 2 | 112, 322, 917, 80 |
| 2 | 56, 161, 917, 40 |
| 2 | 28, 161, 917, 20 |
| 2 | 14, 161, 917, 10 |
| 7 | 7, 161, 917, 5 |
| 1, 23, 131, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 1 x 23 x 131 x 5 = 3374560
Therefore, the lowest common multiple of 224,644,917,160 is 3374560.
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.
224 x 644 x 917 x 160 = 21165240320
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
917 : 1, 7, 131, 917
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,644,917,160, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
644:2x 2x 7x 23
917:7x 131
160:2x 2x 2x 2x 2x 5
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 7x 7 = 6272
Therefore, the value for common factors is 6272.
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 = 21165240320/(1x6272)
LCM = 21165240320/6272
LCM = 3374560
Thus, we can understand that the LCM of 224,644,917,160 is 3374560.
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FAQs on LCM of 224, 644, 917, 160
1. What is the LCM of 224, 644, 917, 160?
Answer: LCM of 224, 644, 917, 160 is 3374560.
2. How to calculate the LCM of 224, 644, 917, 160?
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 224, 644, 917, 160.
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}.