LCM of 958, 680, 120, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 680, 120, 819 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 958, 680, 120, 819. So, keep reading to learn more.
Given numbers are 958,680,120,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,680,120,819 is 266764680.
Find LCM of 958,680,120,819 with Prime Factorization
| 2 | 958, 680, 120, 819 |
| 2 | 479, 340, 60, 819 |
| 2 | 479, 170, 30, 819 |
| 3 | 479, 85, 15, 819 |
| 5 | 479, 85, 5, 273 |
| 479, 17, 1, 273 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 479 x 17 x 1 x 273 = 266764680
Therefore, the lowest common multiple of 958,680,120,819 is 266764680.
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.
958 x 680 x 120 x 819 = 64023523200
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.
958 : 1, 2, 479, 958
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,680,120,819, is 1.
Now, the common factors can be found like this.
958:2x 479
680:2x 2x 2x 5x 17
120:2x 2x 2x 3x 5
819:3x 3x 7x 13
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 64023523200/(1x240)
LCM = 64023523200/240
LCM = 266764680
Thus, we can understand that the LCM of 958,680,120,819 is 266764680.
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FAQs on LCM of 958, 680, 120, 819
1. What is the LCM of 958, 680, 120, 819?
Answer: LCM of 958, 680, 120, 819 is 266764680.
2. How to calculate the LCM of 958, 680, 120, 819?
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 958, 680, 120, 819.
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}.