LCM of 551, 738, 720, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 738, 720, 324 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 551, 738, 720, 324. So, keep reading to learn more.
Given numbers are 551,738,720,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,738,720,324 is 146389680.
Find LCM of 551,738,720,324 with Prime Factorization
| 2 | 551, 738, 720, 324 |
| 2 | 551, 369, 360, 162 |
| 3 | 551, 369, 180, 81 |
| 3 | 551, 123, 60, 27 |
| 551, 41, 20, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 551 x 41 x 20 x 9 = 146389680
Therefore, the lowest common multiple of 551,738,720,324 is 146389680.
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.
551 x 738 x 720 x 324 = 94860512640
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.
551 : 1, 19, 29, 551
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,738,720,324, is 1.
Now, the common factors can be found like this.
551:19x 29
738:2x 3x 3x 41
720:2x 2x 2x 2x 3x 3x 5
324:2x 2x 3x 3x 3x 3
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 94860512640/(1x648)
LCM = 94860512640/648
LCM = 146389680
Thus, we can understand that the LCM of 551,738,720,324 is 146389680.
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FAQs on LCM of 551, 738, 720, 324
1. What is the LCM of 551, 738, 720, 324?
Answer: LCM of 551, 738, 720, 324 is 146389680.
2. How to calculate the LCM of 551, 738, 720, 324?
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 551, 738, 720, 324.
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}.