LCM of 696, 460, 348, 342, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 460, 348, 342, 915 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 696, 460, 348, 342, 915. So, keep reading to learn more.
Given numbers are 696,460,348,342,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,460,348,342,915 is 278299080.
Find LCM of 696,460,348,342,915 with Prime Factorization
| 2 | 696, 460, 348, 342, 915 |
| 2 | 348, 230, 174, 171, 915 |
| 3 | 87, 115, 174, 171, 915 |
| 5 | 29, 115, 58, 57, 305 |
| 29 | 29, 23, 58, 57, 61 |
| 1, 23, 2, 57, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 1 x 23 x 2 x 57 x 61 = 278299080
Therefore, the lowest common multiple of 696,460,348,342,915 is 278299080.
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.
696 x 460 x 348 x 342 x 915 = 34865308742400
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,460,348,342,915, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
460:2x 2x 5x 23
348:2x 2x 3x 29
342:2x 3x 3x 19
915:3x 5x 61
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 2x 3x 3x 3x 5x 29 = 125280
Therefore, the value for common factors is 125280.
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 = 34865308742400/(1x125280)
LCM = 34865308742400/125280
LCM = 278299080
Thus, we can understand that the LCM of 696,460,348,342,915 is 278299080.
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FAQs on LCM of 696, 460, 348, 342, 915
1. What is the LCM of 696, 460, 348, 342, 915?
Answer: LCM of 696, 460, 348, 342, 915 is 278299080.
2. How to calculate the LCM of 696, 460, 348, 342, 915?
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 696, 460, 348, 342, 915.
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}.