LCM of 816, 932, 497, 467, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 932, 497, 467, 224 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 816, 932, 497, 467, 224. So, keep reading to learn more.
Given numbers are 816,932,497,467,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,932,497,467,224 is 88257037344.
Find LCM of 816,932,497,467,224 with Prime Factorization
| 2 | 816, 932, 497, 467, 224 |
| 2 | 408, 466, 497, 467, 112 |
| 2 | 204, 233, 497, 467, 56 |
| 2 | 102, 233, 497, 467, 28 |
| 7 | 51, 233, 497, 467, 14 |
| 51, 233, 71, 467, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 51 x 233 x 71 x 467 x 2 = 88257037344
Therefore, the lowest common multiple of 816,932,497,467,224 is 88257037344.
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.
816 x 932 x 497 x 467 x 224 = 39539152730112
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
932 : 1, 2, 4, 233, 466, 932
497 : 1, 7, 71, 497
467 : 1, 467
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,932,497,467,224, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
932:2x 2x 233
497:7x 71
467:467
224:2x 2x 2x 2x 2x 7
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 7 = 448
Therefore, the value for common factors is 448.
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 = 39539152730112/(1x448)
LCM = 39539152730112/448
LCM = 88257037344
Thus, we can understand that the LCM of 816,932,497,467,224 is 88257037344.
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FAQs on LCM of 816, 932, 497, 467, 224
1. What is the LCM of 816, 932, 497, 467, 224?
Answer: LCM of 816, 932, 497, 467, 224 is 88257037344.
2. How to calculate the LCM of 816, 932, 497, 467, 224?
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 816, 932, 497, 467, 224.
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}.