LCM of 223, 861, 268, 328, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 861, 268, 328, 693 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, 861, 268, 328, 693. So, keep reading to learn more.
Given numbers are 223,861,268,328,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,861,268,328,693 is 3396149064.
Find LCM of 223,861,268,328,693 with Prime Factorization
| 2 | 223, 861, 268, 328, 693 |
| 2 | 223, 861, 134, 164, 693 |
| 3 | 223, 861, 67, 82, 693 |
| 7 | 223, 287, 67, 82, 231 |
| 41 | 223, 41, 67, 82, 33 |
| 223, 1, 67, 2, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 223 x 1 x 67 x 2 x 33 = 3396149064
Therefore, the lowest common multiple of 223,861,268,328,693 is 3396149064.
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 861 x 268 x 328 x 693 = 11696337376416
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
268 : 1, 2, 4, 67, 134, 268
328 : 1, 2, 4, 8, 41, 82, 164, 328
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,861,268,328,693, is 1.
Now, the common factors can be found like this.
223:223
861:3x 7x 41
268:2x 2x 67
328:2x 2x 2x 41
693:3x 3x 7x 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 3x 7x 41 = 3444
Therefore, the value for common factors is 3444.
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 = 11696337376416/(1x3444)
LCM = 11696337376416/3444
LCM = 3396149064
Thus, we can understand that the LCM of 223,861,268,328,693 is 3396149064.
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FAQs on LCM of 223, 861, 268, 328, 693
1. What is the LCM of 223, 861, 268, 328, 693?
Answer: LCM of 223, 861, 268, 328, 693 is 3396149064.
2. How to calculate the LCM of 223, 861, 268, 328, 693?
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, 861, 268, 328, 693.
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}.