LCM of 447, 145, 978, 348, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 145, 978, 348, 493 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 447, 145, 978, 348, 493. So, keep reading to learn more.
Given numbers are 447,145,978,348,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,145,978,348,493 is 718409460.
Find LCM of 447,145,978,348,493 with Prime Factorization
| 2 | 447, 145, 978, 348, 493 |
| 3 | 447, 145, 489, 174, 493 |
| 29 | 149, 145, 163, 58, 493 |
| 149, 5, 163, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 149 x 5 x 163 x 2 x 17 = 718409460
Therefore, the lowest common multiple of 447,145,978,348,493 is 718409460.
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.
447 x 145 x 978 x 348 x 493 = 10875282405480
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.
447 : 1, 3, 149, 447
145 : 1, 5, 29, 145
978 : 1, 2, 3, 6, 163, 326, 489, 978
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,145,978,348,493, is 1.
Now, the common factors can be found like this.
447:3x 149
145:5x 29
978:2x 3x 163
348:2x 2x 3x 29
493:17x 29
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 29x 29 = 15138
Therefore, the value for common factors is 15138.
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 = 10875282405480/(1x15138)
LCM = 10875282405480/15138
LCM = 718409460
Thus, we can understand that the LCM of 447,145,978,348,493 is 718409460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 447, 145, 978, 348, 493
1. What is the LCM of 447, 145, 978, 348, 493?
Answer: LCM of 447, 145, 978, 348, 493 is 718409460.
2. How to calculate the LCM of 447, 145, 978, 348, 493?
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 447, 145, 978, 348, 493.
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}.