LCM of 406, 350, 135, 417, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 350, 135, 417, 741 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 406, 350, 135, 417, 741. So, keep reading to learn more.
Given numbers are 406,350,135,417,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,350,135,417,741 is 9408958650.
Find LCM of 406,350,135,417,741 with Prime Factorization
| 2 | 406, 350, 135, 417, 741 |
| 3 | 203, 175, 135, 417, 741 |
| 5 | 203, 175, 45, 139, 247 |
| 7 | 203, 35, 9, 139, 247 |
| 29, 5, 9, 139, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 29 x 5 x 9 x 139 x 247 = 9408958650
Therefore, the lowest common multiple of 406,350,135,417,741 is 9408958650.
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.
406 x 350 x 135 x 417 x 741 = 5927643949500
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
135 : 1, 3, 5, 9, 15, 27, 45, 135
417 : 1, 3, 139, 417
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,350,135,417,741, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
350:2x 5x 5x 7
135:3x 3x 3x 5
417:3x 139
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 5927643949500/(1x630)
LCM = 5927643949500/630
LCM = 9408958650
Thus, we can understand that the LCM of 406,350,135,417,741 is 9408958650.
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FAQs on LCM of 406, 350, 135, 417, 741
1. What is the LCM of 406, 350, 135, 417, 741?
Answer: LCM of 406, 350, 135, 417, 741 is 9408958650.
2. How to calculate the LCM of 406, 350, 135, 417, 741?
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 406, 350, 135, 417, 741.
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}.