LCM of 297, 374, 233, 786, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 374, 233, 786, 896 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 297, 374, 233, 786, 896. So, keep reading to learn more.
Given numbers are 297,374,233,786,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,374,233,786,896 is 138083121792.
Find LCM of 297,374,233,786,896 with Prime Factorization
| 2 | 297, 374, 233, 786, 896 |
| 3 | 297, 187, 233, 393, 448 |
| 11 | 99, 187, 233, 131, 448 |
| 9, 17, 233, 131, 448 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 9 x 17 x 233 x 131 x 448 = 138083121792
Therefore, the lowest common multiple of 297,374,233,786,896 is 138083121792.
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.
297 x 374 x 233 x 786 x 896 = 18226972076544
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
374 : 1, 2, 11, 17, 22, 34, 187, 374
233 : 1, 233
786 : 1, 2, 3, 6, 131, 262, 393, 786
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,374,233,786,896, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
374:2x 11x 17
233:233
786:2x 3x 131
896:2x 2x 2x 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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 18226972076544/(1x132)
LCM = 18226972076544/132
LCM = 138083121792
Thus, we can understand that the LCM of 297,374,233,786,896 is 138083121792.
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FAQs on LCM of 297, 374, 233, 786, 896
1. What is the LCM of 297, 374, 233, 786, 896?
Answer: LCM of 297, 374, 233, 786, 896 is 138083121792.
2. How to calculate the LCM of 297, 374, 233, 786, 896?
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 297, 374, 233, 786, 896.
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}.