LCM of 223, 238, 236, 392, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 238, 236, 392, 363 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, 238, 236, 392, 363. So, keep reading to learn more.
Given numbers are 223,238,236,392,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,238,236,392,363 is 31827204024.
Find LCM of 223,238,236,392,363 with Prime Factorization
| 2 | 223, 238, 236, 392, 363 |
| 2 | 223, 119, 118, 196, 363 |
| 7 | 223, 119, 59, 98, 363 |
| 223, 17, 59, 14, 363 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 223 x 17 x 59 x 14 x 363 = 31827204024
Therefore, the lowest common multiple of 223,238,236,392,363 is 31827204024.
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 238 x 236 x 392 x 363 = 1782323425344
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
238 : 1, 2, 7, 14, 17, 34, 119, 238
236 : 1, 2, 4, 59, 118, 236
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,238,236,392,363, is 1.
Now, the common factors can be found like this.
223:223
238:2x 7x 17
236:2x 2x 59
392:2x 2x 2x 7x 7
363:3x 11x 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 7 = 56
Therefore, the value for common factors is 56.
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 = 1782323425344/(1x56)
LCM = 1782323425344/56
LCM = 31827204024
Thus, we can understand that the LCM of 223,238,236,392,363 is 31827204024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 238, 236, 392, 363
1. What is the LCM of 223, 238, 236, 392, 363?
Answer: LCM of 223, 238, 236, 392, 363 is 31827204024.
2. How to calculate the LCM of 223, 238, 236, 392, 363?
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, 238, 236, 392, 363.
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}.