LCM of 354, 381, 822, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 381, 822, 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 354, 381, 822, 236. So, keep reading to learn more.
Given numbers are 354,381,822,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,381,822,236 is 12318492.
Find LCM of 354,381,822,236 with Prime Factorization
| 2 | 354, 381, 822, 236 |
| 3 | 177, 381, 411, 118 |
| 59 | 59, 127, 137, 118 |
| 1, 127, 137, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 1 x 127 x 137 x 2 = 12318492
Therefore, the lowest common multiple of 354,381,822,236 is 12318492.
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.
354 x 381 x 822 x 236 = 26164477008
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
381 : 1, 3, 127, 381
822 : 1, 2, 3, 6, 137, 274, 411, 822
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 354,381,822,236, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
381:3x 127
822:2x 3x 137
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 3x 3x 59 = 2124
Therefore, the value for common factors is 2124.
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 = 26164477008/(1x2124)
LCM = 26164477008/2124
LCM = 12318492
Thus, we can understand that the LCM of 354,381,822,236 is 12318492.
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FAQs on LCM of 354, 381, 822, 236
1. What is the LCM of 354, 381, 822, 236?
Answer: LCM of 354, 381, 822, 236 is 12318492.
2. How to calculate the LCM of 354, 381, 822, 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 354, 381, 822, 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}.