LCM of 618, 978, 225, 315, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 978, 225, 315, 360 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 618, 978, 225, 315, 360. So, keep reading to learn more.
Given numbers are 618,978,225,315,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,978,225,315,360 is 211541400.
Find LCM of 618,978,225,315,360 with Prime Factorization
| 2 | 618, 978, 225, 315, 360 |
| 3 | 309, 489, 225, 315, 180 |
| 3 | 103, 163, 75, 105, 60 |
| 5 | 103, 163, 25, 35, 20 |
| 103, 163, 5, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 103 x 163 x 5 x 7 x 4 = 211541400
Therefore, the lowest common multiple of 618,978,225,315,360 is 211541400.
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.
618 x 978 x 225 x 315 x 360 = 15421368060000
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
978 : 1, 2, 3, 6, 163, 326, 489, 978
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,978,225,315,360, is 3.
Now, the common factors can be found like this.
618:2x 3x 103
978:2x 3x 163
225:3x 3x 5x 5
315:3x 3x 5x 7
360:2x 2x 2x 3x 3x 5
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 3x 3x 3x 3x 3x 5x 5 = 24300
Therefore, the value for common factors is 24300.
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 = 15421368060000/(3x24300)
LCM = 15421368060000/72900
LCM = 211541400
Thus, we can understand that the LCM of 618,978,225,315,360 is 211541400.
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FAQs on LCM of 618, 978, 225, 315, 360
1. What is the LCM of 618, 978, 225, 315, 360?
Answer: LCM of 618, 978, 225, 315, 360 is 211541400.
2. How to calculate the LCM of 618, 978, 225, 315, 360?
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 618, 978, 225, 315, 360.
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}.