LCM of 168, 326, 978, 384, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 326, 978, 384, 688 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 168, 326, 978, 384, 688. So, keep reading to learn more.
Given numbers are 168,326,978,384,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,326,978,384,688 is 18840192.
Find LCM of 168,326,978,384,688 with Prime Factorization
| 2 | 168, 326, 978, 384, 688 |
| 2 | 84, 163, 489, 192, 344 |
| 2 | 42, 163, 489, 96, 172 |
| 2 | 21, 163, 489, 48, 86 |
| 3 | 21, 163, 489, 24, 43 |
| 163 | 7, 163, 163, 8, 43 |
| 7, 1, 1, 8, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 163 x 7 x 1 x 1 x 8 x 43 = 18840192
Therefore, the lowest common multiple of 168,326,978,384,688 is 18840192.
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.
168 x 326 x 978 x 384 x 688 = 14150943571968
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
326 : 1, 2, 163, 326
978 : 1, 2, 3, 6, 163, 326, 489, 978
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,326,978,384,688, is 2.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
326:2x 163
978:2x 3x 163
384:2x 2x 2x 2x 2x 2x 2x 3
688:2x 2x 2x 2x 43
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 163 = 375552
Therefore, the value for common factors is 375552.
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 = 14150943571968/(2x375552)
LCM = 14150943571968/751104
LCM = 18840192
Thus, we can understand that the LCM of 168,326,978,384,688 is 18840192.
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FAQs on LCM of 168, 326, 978, 384, 688
1. What is the LCM of 168, 326, 978, 384, 688?
Answer: LCM of 168, 326, 978, 384, 688 is 18840192.
2. How to calculate the LCM of 168, 326, 978, 384, 688?
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 168, 326, 978, 384, 688.
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}.