LCM of 600, 224, 981, 721, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 224, 981, 721, 161 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 600, 224, 981, 721, 161. So, keep reading to learn more.
Given numbers are 600,224,981,721,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,224,981,721,161 is 13014338400.
Find LCM of 600,224,981,721,161 with Prime Factorization
| 2 | 600, 224, 981, 721, 161 |
| 2 | 300, 112, 981, 721, 161 |
| 2 | 150, 56, 981, 721, 161 |
| 3 | 75, 28, 981, 721, 161 |
| 7 | 25, 28, 327, 721, 161 |
| 25, 4, 327, 103, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 25 x 4 x 327 x 103 x 23 = 13014338400
Therefore, the lowest common multiple of 600,224,981,721,161 is 13014338400.
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.
600 x 224 x 981 x 721 x 161 = 15304861958400
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
981 : 1, 3, 9, 109, 327, 981
721 : 1, 7, 103, 721
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,224,981,721,161, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
224:2x 2x 2x 2x 2x 7
981:3x 3x 109
721:7x 103
161:7x 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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 15304861958400/(1x1176)
LCM = 15304861958400/1176
LCM = 13014338400
Thus, we can understand that the LCM of 600,224,981,721,161 is 13014338400.
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FAQs on LCM of 600, 224, 981, 721, 161
1. What is the LCM of 600, 224, 981, 721, 161?
Answer: LCM of 600, 224, 981, 721, 161 is 13014338400.
2. How to calculate the LCM of 600, 224, 981, 721, 161?
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 600, 224, 981, 721, 161.
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}.