LCM of 824, 978, 112, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 978, 112, 316 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 824, 978, 112, 316. So, keep reading to learn more.
Given numbers are 824,978,112,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,978,112,316 is 445647216.
Find LCM of 824,978,112,316 with Prime Factorization
| 2 | 824, 978, 112, 316 |
| 2 | 412, 489, 56, 158 |
| 2 | 206, 489, 28, 79 |
| 103, 489, 14, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 489 x 14 x 79 = 445647216
Therefore, the lowest common multiple of 824,978,112,316 is 445647216.
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.
824 x 978 x 112 x 316 = 28521421824
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
978 : 1, 2, 3, 6, 163, 326, 489, 978
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
316 : 1, 2, 4, 79, 158, 316
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,978,112,316, is 2.
Now, the common factors can be found like this.
824:2x 2x 2x 103
978:2x 3x 163
112:2x 2x 2x 2x 7
316:2x 2x 79
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 2 = 32
Therefore, the value for common factors is 32.
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 = 28521421824/(2x32)
LCM = 28521421824/64
LCM = 445647216
Thus, we can understand that the LCM of 824,978,112,316 is 445647216.
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FAQs on LCM of 824, 978, 112, 316
1. What is the LCM of 824, 978, 112, 316?
Answer: LCM of 824, 978, 112, 316 is 445647216.
2. How to calculate the LCM of 824, 978, 112, 316?
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 824, 978, 112, 316.
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}.