LCM of 230, 978, 126, 259, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 978, 126, 259, 108 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 230, 978, 126, 259, 108. So, keep reading to learn more.
Given numbers are 230,978,126,259,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,978,126,259,108 is 524335140.
Find LCM of 230,978,126,259,108 with Prime Factorization
| 2 | 230, 978, 126, 259, 108 |
| 3 | 115, 489, 63, 259, 54 |
| 3 | 115, 163, 21, 259, 18 |
| 7 | 115, 163, 7, 259, 6 |
| 115, 163, 1, 37, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 115 x 163 x 1 x 37 x 6 = 524335140
Therefore, the lowest common multiple of 230,978,126,259,108 is 524335140.
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.
230 x 978 x 126 x 259 x 108 = 792794731680
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
978 : 1, 2, 3, 6, 163, 326, 489, 978
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
259 : 1, 7, 37, 259
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,978,126,259,108, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
978:2x 3x 163
126:2x 3x 3x 7
259:7x 37
108:2x 2x 3x 3x 3
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 792794731680/(1x1512)
LCM = 792794731680/1512
LCM = 524335140
Thus, we can understand that the LCM of 230,978,126,259,108 is 524335140.
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FAQs on LCM of 230, 978, 126, 259, 108
1. What is the LCM of 230, 978, 126, 259, 108?
Answer: LCM of 230, 978, 126, 259, 108 is 524335140.
2. How to calculate the LCM of 230, 978, 126, 259, 108?
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 230, 978, 126, 259, 108.
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}.