LCM of 241, 405, 351, 354, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 405, 351, 354, 723 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 241, 405, 351, 354, 723. So, keep reading to learn more.
Given numbers are 241,405,351,354,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,405,351,354,723 is 149726070.
Find LCM of 241,405,351,354,723 with Prime Factorization
| 3 | 241, 405, 351, 354, 723 |
| 3 | 241, 135, 117, 118, 241 |
| 3 | 241, 45, 39, 118, 241 |
| 241 | 241, 15, 13, 118, 241 |
| 1, 15, 13, 118, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 241 x 1 x 15 x 13 x 118 x 1 = 149726070
Therefore, the lowest common multiple of 241,405,351,354,723 is 149726070.
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.
241 x 405 x 351 x 354 x 723 = 8768407837410
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.
241 : 1, 241
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
351 : 1, 3, 9, 13, 27, 39, 117, 351
354 : 1, 2, 3, 6, 59, 118, 177, 354
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,405,351,354,723, is 1.
Now, the common factors can be found like this.
241:241
405:3x 3x 3x 3x 5
351:3x 3x 3x 13
354:2x 3x 59
723:3x 241
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 3x 241 = 58563
Therefore, the value for common factors is 58563.
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 = 8768407837410/(1x58563)
LCM = 8768407837410/58563
LCM = 149726070
Thus, we can understand that the LCM of 241,405,351,354,723 is 149726070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 241, 405, 351, 354, 723
1. What is the LCM of 241, 405, 351, 354, 723?
Answer: LCM of 241, 405, 351, 354, 723 is 149726070.
2. How to calculate the LCM of 241, 405, 351, 354, 723?
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 241, 405, 351, 354, 723.
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}.