LCM of 346, 356, 720, 330, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 356, 720, 330, 297 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 346, 356, 720, 330, 297. So, keep reading to learn more.
Given numbers are 346,356,720,330,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,356,720,330,297 is 365832720.
Find LCM of 346,356,720,330,297 with Prime Factorization
| 2 | 346, 356, 720, 330, 297 |
| 2 | 173, 178, 360, 165, 297 |
| 3 | 173, 89, 180, 165, 297 |
| 3 | 173, 89, 60, 55, 99 |
| 5 | 173, 89, 20, 55, 33 |
| 11 | 173, 89, 4, 11, 33 |
| 173, 89, 4, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 173 x 89 x 4 x 1 x 3 = 365832720
Therefore, the lowest common multiple of 346,356,720,330,297 is 365832720.
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.
346 x 356 x 720 x 330 x 297 = 8692185427200
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.
346 : 1, 2, 173, 346
356 : 1, 2, 4, 89, 178, 356
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,356,720,330,297, is 1.
Now, the common factors can be found like this.
346:2x 173
356:2x 2x 89
720:2x 2x 2x 2x 3x 3x 5
330:2x 3x 5x 11
297:3x 3x 3x 11
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 3x 3x 5x 11 = 23760
Therefore, the value for common factors is 23760.
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 = 8692185427200/(1x23760)
LCM = 8692185427200/23760
LCM = 365832720
Thus, we can understand that the LCM of 346,356,720,330,297 is 365832720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 346, 356, 720, 330, 297
1. What is the LCM of 346, 356, 720, 330, 297?
Answer: LCM of 346, 356, 720, 330, 297 is 365832720.
2. How to calculate the LCM of 346, 356, 720, 330, 297?
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 346, 356, 720, 330, 297.
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}.