LCM of 333, 342, 969, 601, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 342, 969, 601, 417 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 333, 342, 969, 601, 417. So, keep reading to learn more.
Given numbers are 333,342,969,601,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,342,969,601,417 is 17970742602.
Find LCM of 333,342,969,601,417 with Prime Factorization
| 3 | 333, 342, 969, 601, 417 |
| 3 | 111, 114, 323, 601, 139 |
| 19 | 37, 38, 323, 601, 139 |
| 37, 2, 17, 601, 139 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 37 x 2 x 17 x 601 x 139 = 17970742602
Therefore, the lowest common multiple of 333,342,969,601,417 is 17970742602.
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.
333 x 342 x 969 x 601 x 417 = 27656972864478
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.
333 : 1, 3, 9, 37, 111, 333
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
969 : 1, 3, 17, 19, 51, 57, 323, 969
601 : 1, 601
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,342,969,601,417, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
342:2x 3x 3x 19
969:3x 17x 19
601:601
417:3x 139
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 3x 3x 19 = 1539
Therefore, the value for common factors is 1539.
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 = 27656972864478/(1x1539)
LCM = 27656972864478/1539
LCM = 17970742602
Thus, we can understand that the LCM of 333,342,969,601,417 is 17970742602.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 333, 342, 969, 601, 417
1. What is the LCM of 333, 342, 969, 601, 417?
Answer: LCM of 333, 342, 969, 601, 417 is 17970742602.
2. How to calculate the LCM of 333, 342, 969, 601, 417?
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 333, 342, 969, 601, 417.
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}.