LCM of 236, 354, 121, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 354, 121, 112 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 236, 354, 121, 112. So, keep reading to learn more.
Given numbers are 236,354,121,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,354,121,112 is 2398704.
Find LCM of 236,354,121,112 with Prime Factorization
| 2 | 236, 354, 121, 112 |
| 2 | 118, 177, 121, 56 |
| 59 | 59, 177, 121, 28 |
| 1, 3, 121, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 1 x 3 x 121 x 28 = 2398704
Therefore, the lowest common multiple of 236,354,121,112 is 2398704.
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.
236 x 354 x 121 x 112 = 1132188288
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.
236 : 1, 2, 4, 59, 118, 236
354 : 1, 2, 3, 6, 59, 118, 177, 354
121 : 1, 11, 121
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,354,121,112, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
354:2x 3x 59
121:11x 11
112:2x 2x 2x 2x 7
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 59 = 472
Therefore, the value for common factors is 472.
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 = 1132188288/(1x472)
LCM = 1132188288/472
LCM = 2398704
Thus, we can understand that the LCM of 236,354,121,112 is 2398704.
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FAQs on LCM of 236, 354, 121, 112
1. What is the LCM of 236, 354, 121, 112?
Answer: LCM of 236, 354, 121, 112 is 2398704.
2. How to calculate the LCM of 236, 354, 121, 112?
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 236, 354, 121, 112.
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}.