LCM of 952, 401, 824, 221, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 401, 824, 221, 236 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 952, 401, 824, 221, 236. So, keep reading to learn more.
Given numbers are 952,401,824,221,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,401,824,221,236 is 30158789752.
Find LCM of 952,401,824,221,236 with Prime Factorization
| 2 | 952, 401, 824, 221, 236 |
| 2 | 476, 401, 412, 221, 118 |
| 2 | 238, 401, 206, 221, 59 |
| 17 | 119, 401, 103, 221, 59 |
| 7, 401, 103, 13, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 7 x 401 x 103 x 13 x 59 = 30158789752
Therefore, the lowest common multiple of 952,401,824,221,236 is 30158789752.
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.
952 x 401 x 824 x 221 x 236 = 16406381625088
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
401 : 1, 401
824 : 1, 2, 4, 8, 103, 206, 412, 824
221 : 1, 13, 17, 221
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,401,824,221,236, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
401:401
824:2x 2x 2x 103
221:13x 17
236:2x 2x 59
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 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 16406381625088/(1x544)
LCM = 16406381625088/544
LCM = 30158789752
Thus, we can understand that the LCM of 952,401,824,221,236 is 30158789752.
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FAQs on LCM of 952, 401, 824, 221, 236
1. What is the LCM of 952, 401, 824, 221, 236?
Answer: LCM of 952, 401, 824, 221, 236 is 30158789752.
2. How to calculate the LCM of 952, 401, 824, 221, 236?
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 952, 401, 824, 221, 236.
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}.