LCM of 937, 935, 414, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 935, 414, 495 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 937, 935, 414, 495. So, keep reading to learn more.
Given numbers are 937,935,414,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,935,414,495 is 362703330.
Find LCM of 937,935,414,495 with Prime Factorization
| 3 | 937, 935, 414, 495 |
| 3 | 937, 935, 138, 165 |
| 5 | 937, 935, 46, 55 |
| 11 | 937, 187, 46, 11 |
| 937, 17, 46, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 937 x 17 x 46 x 1 = 362703330
Therefore, the lowest common multiple of 937,935,414,495 is 362703330.
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.
937 x 935 x 414 x 495 = 179538148350
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.
937 : 1, 937
935 : 1, 5, 11, 17, 55, 85, 187, 935
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,935,414,495, is 1.
Now, the common factors can be found like this.
937:937
935:5x 11x 17
414:2x 3x 3x 23
495:3x 3x 5x 11
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 11 = 495
Therefore, the value for common factors is 495.
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 = 179538148350/(1x495)
LCM = 179538148350/495
LCM = 362703330
Thus, we can understand that the LCM of 937,935,414,495 is 362703330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 937, 935, 414, 495
1. What is the LCM of 937, 935, 414, 495?
Answer: LCM of 937, 935, 414, 495 is 362703330.
2. How to calculate the LCM of 937, 935, 414, 495?
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 937, 935, 414, 495.
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}.