LCM of 960, 354, 899, 279, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 354, 899, 279, 258 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, 354, 899, 279, 258. So, keep reading to learn more.
Given numbers are 960,354,899,279,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,354,899,279,258 is 6568597440.
Find LCM of 960,354,899,279,258 with Prime Factorization
| 2 | 960, 354, 899, 279, 258 |
| 3 | 480, 177, 899, 279, 129 |
| 31 | 160, 59, 899, 93, 43 |
| 160, 59, 29, 3, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 160 x 59 x 29 x 3 x 43 = 6568597440
Therefore, the lowest common multiple of 960,354,899,279,258 is 6568597440.
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 354 x 899 x 279 x 258 = 21991664229120
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
354 : 1, 2, 3, 6, 59, 118, 177, 354
899 : 1, 29, 31, 899
279 : 1, 3, 9, 31, 93, 279
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,354,899,279,258, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
354:2x 3x 59
899:29x 31
279:3x 3x 31
258:2x 3x 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 3x 3x 3x 31 = 3348
Therefore, the value for common factors is 3348.
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 = 21991664229120/(1x3348)
LCM = 21991664229120/3348
LCM = 6568597440
Thus, we can understand that the LCM of 960,354,899,279,258 is 6568597440.
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FAQs on LCM of 960, 354, 899, 279, 258
1. What is the LCM of 960, 354, 899, 279, 258?
Answer: LCM of 960, 354, 899, 279, 258 is 6568597440.
2. How to calculate the LCM of 960, 354, 899, 279, 258?
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, 354, 899, 279, 258.
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}.