LCM of 223, 440, 360, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 440, 360, 297 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 223, 440, 360, 297. So, keep reading to learn more.
Given numbers are 223,440,360,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,440,360,297 is 2649240.
Find LCM of 223,440,360,297 with Prime Factorization
| 2 | 223, 440, 360, 297 |
| 2 | 223, 220, 180, 297 |
| 2 | 223, 110, 90, 297 |
| 3 | 223, 55, 45, 297 |
| 3 | 223, 55, 15, 99 |
| 5 | 223, 55, 5, 33 |
| 11 | 223, 11, 1, 33 |
| 223, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 11 x 223 x 1 x 1 x 3 = 2649240
Therefore, the lowest common multiple of 223,440,360,297 is 2649240.
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.
223 x 440 x 360 x 297 = 10490990400
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.
223 : 1, 223
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,440,360,297, is 1.
Now, the common factors can be found like this.
223:223
440:2x 2x 2x 5x 11
360:2x 2x 2x 3x 3x 5
297:3x 3x 3x 11
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 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 10490990400/(1x3960)
LCM = 10490990400/3960
LCM = 2649240
Thus, we can understand that the LCM of 223,440,360,297 is 2649240.
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FAQs on LCM of 223, 440, 360, 297
1. What is the LCM of 223, 440, 360, 297?
Answer: LCM of 223, 440, 360, 297 is 2649240.
2. How to calculate the LCM of 223, 440, 360, 297?
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 223, 440, 360, 297.
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}.