LCM of 223, 706, 504, 314, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 706, 504, 314, 868 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, 706, 504, 314, 868. So, keep reading to learn more.
Given numbers are 223,706,504,314,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,706,504,314,868 is 193095187992.
Find LCM of 223,706,504,314,868 with Prime Factorization
| 2 | 223, 706, 504, 314, 868 |
| 2 | 223, 353, 252, 157, 434 |
| 7 | 223, 353, 126, 157, 217 |
| 223, 353, 18, 157, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 223 x 353 x 18 x 157 x 31 = 193095187992
Therefore, the lowest common multiple of 223,706,504,314,868 is 193095187992.
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 706 x 504 x 314 x 868 = 21626661055104
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
706 : 1, 2, 353, 706
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
314 : 1, 2, 157, 314
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,706,504,314,868, is 1.
Now, the common factors can be found like this.
223:223
706:2x 353
504:2x 2x 2x 3x 3x 7
314:2x 157
868:2x 2x 7x 31
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 7 = 112
Therefore, the value for common factors is 112.
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 = 21626661055104/(1x112)
LCM = 21626661055104/112
LCM = 193095187992
Thus, we can understand that the LCM of 223,706,504,314,868 is 193095187992.
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FAQs on LCM of 223, 706, 504, 314, 868
1. What is the LCM of 223, 706, 504, 314, 868?
Answer: LCM of 223, 706, 504, 314, 868 is 193095187992.
2. How to calculate the LCM of 223, 706, 504, 314, 868?
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, 706, 504, 314, 868.
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}.