LCM of 253, 867, 978, 150, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 867, 978, 150, 105 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 253, 867, 978, 150, 105. So, keep reading to learn more.
Given numbers are 253,867,978,150,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,867,978,150,105 is 12513974550.
Find LCM of 253,867,978,150,105 with Prime Factorization
| 2 | 253, 867, 978, 150, 105 |
| 3 | 253, 867, 489, 75, 105 |
| 5 | 253, 289, 163, 25, 35 |
| 253, 289, 163, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 253 x 289 x 163 x 5 x 7 = 12513974550
Therefore, the lowest common multiple of 253,867,978,150,105 is 12513974550.
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.
253 x 867 x 978 x 150 x 105 = 3378773128500
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.
253 : 1, 11, 23, 253
867 : 1, 3, 17, 51, 289, 867
978 : 1, 2, 3, 6, 163, 326, 489, 978
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,867,978,150,105, is 1.
Now, the common factors can be found like this.
253:11x 23
867:3x 17x 17
978:2x 3x 163
150:2x 3x 5x 5
105:3x 5x 7
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 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 3378773128500/(1x270)
LCM = 3378773128500/270
LCM = 12513974550
Thus, we can understand that the LCM of 253,867,978,150,105 is 12513974550.
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FAQs on LCM of 253, 867, 978, 150, 105
1. What is the LCM of 253, 867, 978, 150, 105?
Answer: LCM of 253, 867, 978, 150, 105 is 12513974550.
2. How to calculate the LCM of 253, 867, 978, 150, 105?
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 253, 867, 978, 150, 105.
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}.