LCM of 144, 312, 213, 824, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 312, 213, 824, 884 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 144, 312, 213, 824, 884. So, keep reading to learn more.
Given numbers are 144,312,213,824,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,312,213,824,884 is 232728912.
Find LCM of 144,312,213,824,884 with Prime Factorization
| 2 | 144, 312, 213, 824, 884 |
| 2 | 72, 156, 213, 412, 442 |
| 2 | 36, 78, 213, 206, 221 |
| 3 | 18, 39, 213, 103, 221 |
| 13 | 6, 13, 71, 103, 221 |
| 6, 1, 71, 103, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 6 x 1 x 71 x 103 x 17 = 232728912
Therefore, the lowest common multiple of 144,312,213,824,884 is 232728912.
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.
144 x 312 x 213 x 824 x 884 = 6970696372224
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
213 : 1, 3, 71, 213
824 : 1, 2, 4, 8, 103, 206, 412, 824
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,312,213,824,884, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
312:2x 2x 2x 3x 13
213:3x 71
824:2x 2x 2x 103
884:2x 2x 13x 17
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 2x 3x 3x 13 = 29952
Therefore, the value for common factors is 29952.
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 = 6970696372224/(1x29952)
LCM = 6970696372224/29952
LCM = 232728912
Thus, we can understand that the LCM of 144,312,213,824,884 is 232728912.
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FAQs on LCM of 144, 312, 213, 824, 884
1. What is the LCM of 144, 312, 213, 824, 884?
Answer: LCM of 144, 312, 213, 824, 884 is 232728912.
2. How to calculate the LCM of 144, 312, 213, 824, 884?
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 144, 312, 213, 824, 884.
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}.