LCM of 341, 651, 735, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 651, 735, 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 341, 651, 735, 960. So, keep reading to learn more.
Given numbers are 341,651,735,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,651,735,960 is 16040640.
Find LCM of 341,651,735,960 with Prime Factorization
| 3 | 341, 651, 735, 960 |
| 5 | 341, 217, 245, 320 |
| 7 | 341, 217, 49, 64 |
| 31 | 341, 31, 7, 64 |
| 11, 1, 7, 64 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 31 x 11 x 1 x 7 x 64 = 16040640
Therefore, the lowest common multiple of 341,651,735,960 is 16040640.
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.
341 x 651 x 735 x 960 = 156636849600
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.
341 : 1, 11, 31, 341
651 : 1, 3, 7, 21, 31, 93, 217, 651
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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 341,651,735,960, is 1.
Now, the common factors can be found like this.
341:11x 31
651:3x 7x 31
735:3x 5x 7x 7
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.
3x 3x 5x 7x 31 = 9765
Therefore, the value for common factors is 9765.
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 = 156636849600/(1x9765)
LCM = 156636849600/9765
LCM = 16040640
Thus, we can understand that the LCM of 341,651,735,960 is 16040640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 651, 735, 960
1. What is the LCM of 341, 651, 735, 960?
Answer: LCM of 341, 651, 735, 960 is 16040640.
2. How to calculate the LCM of 341, 651, 735, 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 341, 651, 735, 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}.