LCM of 446, 414, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 414, 745 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 446, 414, 745. So, keep reading to learn more.
Given numbers are 446,414,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,414,745 is 68779890.
Find LCM of 446,414,745 with Prime Factorization
| 2 | 446, 414, 745 |
| 223, 207, 745 |
Multiply the prime numbers at the bottom and the left side.
2 x 223 x 207 x 745 = 68779890
Therefore, the lowest common multiple of 446,414,745 is 68779890.
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.
446 x 414 x 745 = 137559780
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.
446 : 1, 2, 223, 446
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,414,745, is 1.
Now, the common factors can be found like this.
446:2x 223
414:2x 3x 3x 23
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 137559780/(1x2)
LCM = 137559780/2
LCM = 68779890
Thus, we can understand that the LCM of 446,414,745 is 68779890.
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FAQs on LCM of 446, 414, 745
1. What is the LCM of 446, 414, 745?
Answer: LCM of 446, 414, 745 is 68779890.
2. How to calculate the LCM of 446, 414, 745?
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 446, 414, 745.
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}.