LCM of 297, 472, 646, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 472, 646, 720 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 297, 472, 646, 720. So, keep reading to learn more.
Given numbers are 297,472,646,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,472,646,720 is 452794320.
Find LCM of 297,472,646,720 with Prime Factorization
| 2 | 297, 472, 646, 720 |
| 2 | 297, 236, 323, 360 |
| 2 | 297, 118, 323, 180 |
| 3 | 297, 59, 323, 90 |
| 3 | 99, 59, 323, 30 |
| 33, 59, 323, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 33 x 59 x 323 x 10 = 452794320
Therefore, the lowest common multiple of 297,472,646,720 is 452794320.
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.
297 x 472 x 646 x 720 = 65202382080
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
472 : 1, 2, 4, 8, 59, 118, 236, 472
646 : 1, 2, 17, 19, 34, 38, 323, 646
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,472,646,720, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
472:2x 2x 2x 59
646:2x 17x 19
720:2x 2x 2x 2x 3x 3x 5
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 65202382080/(1x144)
LCM = 65202382080/144
LCM = 452794320
Thus, we can understand that the LCM of 297,472,646,720 is 452794320.
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FAQs on LCM of 297, 472, 646, 720
1. What is the LCM of 297, 472, 646, 720?
Answer: LCM of 297, 472, 646, 720 is 452794320.
2. How to calculate the LCM of 297, 472, 646, 720?
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 297, 472, 646, 720.
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}.