LCM of 392, 462, 446, 322, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 462, 446, 322, 548 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 392, 462, 446, 322, 548. So, keep reading to learn more.
Given numbers are 392,462,446,322,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,462,446,322,548 is 9089777928.
Find LCM of 392,462,446,322,548 with Prime Factorization
| 2 | 392, 462, 446, 322, 548 |
| 2 | 196, 231, 223, 161, 274 |
| 7 | 98, 231, 223, 161, 137 |
| 14, 33, 223, 23, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 14 x 33 x 223 x 23 x 137 = 9089777928
Therefore, the lowest common multiple of 392,462,446,322,548 is 9089777928.
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.
392 x 462 x 446 x 322 x 548 = 14252771791104
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
446 : 1, 2, 223, 446
322 : 1, 2, 7, 14, 23, 46, 161, 322
548 : 1, 2, 4, 137, 274, 548
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,462,446,322,548, is 2.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
462:2x 3x 7x 11
446:2x 223
322:2x 7x 23
548:2x 2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 14252771791104/(2x784)
LCM = 14252771791104/1568
LCM = 9089777928
Thus, we can understand that the LCM of 392,462,446,322,548 is 9089777928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 392, 462, 446, 322, 548
1. What is the LCM of 392, 462, 446, 322, 548?
Answer: LCM of 392, 462, 446, 322, 548 is 9089777928.
2. How to calculate the LCM of 392, 462, 446, 322, 548?
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 392, 462, 446, 322, 548.
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}.