LCM of 960, 978, 273, 289, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 978, 273, 289, 119 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 960, 978, 273, 289, 119. So, keep reading to learn more.
Given numbers are 960,978,273,289,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,978,273,289,119 is 4115267520.
Find LCM of 960,978,273,289,119 with Prime Factorization
| 2 | 960, 978, 273, 289, 119 |
| 3 | 480, 489, 273, 289, 119 |
| 7 | 160, 163, 91, 289, 119 |
| 17 | 160, 163, 13, 289, 17 |
| 160, 163, 13, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 160 x 163 x 13 x 1 x 17 = 4115267520
Therefore, the lowest common multiple of 960,978,273,289,119 is 4115267520.
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.
960 x 978 x 273 x 289 x 119 = 8814903027840
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
978 : 1, 2, 3, 6, 163, 326, 489, 978
273 : 1, 3, 7, 13, 21, 39, 91, 273
289 : 1, 17, 289
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,978,273,289,119, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
978:2x 3x 163
273:3x 7x 13
289:17x 17
119:7x 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 7x 17 = 2142
Therefore, the value for common factors is 2142.
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 = 8814903027840/(1x2142)
LCM = 8814903027840/2142
LCM = 4115267520
Thus, we can understand that the LCM of 960,978,273,289,119 is 4115267520.
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FAQs on LCM of 960, 978, 273, 289, 119
1. What is the LCM of 960, 978, 273, 289, 119?
Answer: LCM of 960, 978, 273, 289, 119 is 4115267520.
2. How to calculate the LCM of 960, 978, 273, 289, 119?
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 960, 978, 273, 289, 119.
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}.