LCM of 342, 315, 668, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 315, 668, 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 342, 315, 668, 960. So, keep reading to learn more.
Given numbers are 342,315,668,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,315,668,960 is 63967680.
Find LCM of 342,315,668,960 with Prime Factorization
| 2 | 342, 315, 668, 960 |
| 2 | 171, 315, 334, 480 |
| 3 | 171, 315, 167, 240 |
| 3 | 57, 105, 167, 80 |
| 5 | 19, 35, 167, 80 |
| 19, 7, 167, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 7 x 167 x 16 = 63967680
Therefore, the lowest common multiple of 342,315,668,960 is 63967680.
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.
342 x 315 x 668 x 960 = 69085094400
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
668 : 1, 2, 4, 167, 334, 668
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,315,668,960, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
315:3x 3x 5x 7
668:2x 2x 167
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 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 69085094400/(1x1080)
LCM = 69085094400/1080
LCM = 63967680
Thus, we can understand that the LCM of 342,315,668,960 is 63967680.
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FAQs on LCM of 342, 315, 668, 960
1. What is the LCM of 342, 315, 668, 960?
Answer: LCM of 342, 315, 668, 960 is 63967680.
2. How to calculate the LCM of 342, 315, 668, 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 342, 315, 668, 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}.