LCM of 297, 446, 322, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 446, 322, 420 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, 446, 322, 420. So, keep reading to learn more.
Given numbers are 297,446,322,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,446,322,420 is 213263820.
Find LCM of 297,446,322,420 with Prime Factorization
| 2 | 297, 446, 322, 420 |
| 3 | 297, 223, 161, 210 |
| 7 | 99, 223, 161, 70 |
| 99, 223, 23, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 99 x 223 x 23 x 10 = 213263820
Therefore, the lowest common multiple of 297,446,322,420 is 213263820.
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 446 x 322 x 420 = 17914160880
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
446 : 1, 2, 223, 446
322 : 1, 2, 7, 14, 23, 46, 161, 322
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,446,322,420, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
446:2x 223
322:2x 7x 23
420:2x 2x 3x 5x 7
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 17914160880/(1x84)
LCM = 17914160880/84
LCM = 213263820
Thus, we can understand that the LCM of 297,446,322,420 is 213263820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 446, 322, 420
1. What is the LCM of 297, 446, 322, 420?
Answer: LCM of 297, 446, 322, 420 is 213263820.
2. How to calculate the LCM of 297, 446, 322, 420?
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, 446, 322, 420.
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}.