LCM of 606, 381, 762, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 381, 762, 960 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 606, 381, 762, 960. So, keep reading to learn more.
Given numbers are 606,381,762,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,381,762,960 is 12313920.
Find LCM of 606,381,762,960 with Prime Factorization
| 2 | 606, 381, 762, 960 |
| 3 | 303, 381, 381, 480 |
| 127 | 101, 127, 127, 160 |
| 101, 1, 1, 160 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 101 x 1 x 1 x 160 = 12313920
Therefore, the lowest common multiple of 606,381,762,960 is 12313920.
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.
606 x 381 x 762 x 960 = 168897726720
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
381 : 1, 3, 127, 381
762 : 1, 2, 3, 6, 127, 254, 381, 762
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,381,762,960, is 3.
Now, the common factors can be found like this.
606:2x 3x 101
381:3x 127
762:2x 3x 127
960:2x 2x 2x 2x 2x 2x 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 127 = 4572
Therefore, the value for common factors is 4572.
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 = 168897726720/(3x4572)
LCM = 168897726720/13716
LCM = 12313920
Thus, we can understand that the LCM of 606,381,762,960 is 12313920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 606, 381, 762, 960
1. What is the LCM of 606, 381, 762, 960?
Answer: LCM of 606, 381, 762, 960 is 12313920.
2. How to calculate the LCM of 606, 381, 762, 960?
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 606, 381, 762, 960.
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}.