LCM of 327, 978, 489, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 978, 489, 816 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 327, 978, 489, 816. So, keep reading to learn more.
Given numbers are 327,978,489,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,978,489,816 is 14497872.
Find LCM of 327,978,489,816 with Prime Factorization
| 2 | 327, 978, 489, 816 |
| 3 | 327, 489, 489, 408 |
| 163 | 109, 163, 163, 136 |
| 109, 1, 1, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 109 x 1 x 1 x 136 = 14497872
Therefore, the lowest common multiple of 327,978,489,816 is 14497872.
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.
327 x 978 x 489 x 816 = 127610269344
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.
327 : 1, 3, 109, 327
978 : 1, 2, 3, 6, 163, 326, 489, 978
489 : 1, 3, 163, 489
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,978,489,816, is 3.
Now, the common factors can be found like this.
327:3x 109
978:2x 3x 163
489:3x 163
816:2x 2x 2x 2x 3x 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 3x 3x 163 = 2934
Therefore, the value for common factors is 2934.
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 = 127610269344/(3x2934)
LCM = 127610269344/8802
LCM = 14497872
Thus, we can understand that the LCM of 327,978,489,816 is 14497872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 327, 978, 489, 816
1. What is the LCM of 327, 978, 489, 816?
Answer: LCM of 327, 978, 489, 816 is 14497872.
2. How to calculate the LCM of 327, 978, 489, 816?
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 327, 978, 489, 816.
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}.