LCM of 333, 741, 361, 475, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 741, 361, 475, 702 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, 741, 361, 475, 702. So, keep reading to learn more.
Given numbers are 333,741,361,475,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,741,361,475,702 is 234415350.
Find LCM of 333,741,361,475,702 with Prime Factorization
| 3 | 333, 741, 361, 475, 702 |
| 3 | 111, 247, 361, 475, 234 |
| 13 | 37, 247, 361, 475, 78 |
| 19 | 37, 19, 361, 475, 6 |
| 37, 1, 19, 25, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 19 x 37 x 1 x 19 x 25 x 6 = 234415350
Therefore, the lowest common multiple of 333,741,361,475,702 is 234415350.
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 741 x 361 x 475 x 702 = 29703003413850
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
361 : 1, 19, 361
475 : 1, 5, 19, 25, 95, 475
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,741,361,475,702, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
741:3x 13x 19
361:19x 19
475:5x 5x 19
702:2x 3x 3x 3x 13
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 13x 19x 19 = 126711
Therefore, the value for common factors is 126711.
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 = 29703003413850/(1x126711)
LCM = 29703003413850/126711
LCM = 234415350
Thus, we can understand that the LCM of 333,741,361,475,702 is 234415350.
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FAQs on LCM of 333, 741, 361, 475, 702
1. What is the LCM of 333, 741, 361, 475, 702?
Answer: LCM of 333, 741, 361, 475, 702 is 234415350.
2. How to calculate the LCM of 333, 741, 361, 475, 702?
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, 741, 361, 475, 702.
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}.