LCM of 902, 896, 117, 308, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 896, 117, 308, 385 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 902, 896, 117, 308, 385. So, keep reading to learn more.
Given numbers are 902,896,117,308,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,896,117,308,385 is 236396160.
Find LCM of 902,896,117,308,385 with Prime Factorization
| 2 | 902, 896, 117, 308, 385 |
| 2 | 451, 448, 117, 154, 385 |
| 7 | 451, 224, 117, 77, 385 |
| 11 | 451, 32, 117, 11, 55 |
| 41, 32, 117, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 41 x 32 x 117 x 1 x 5 = 236396160
Therefore, the lowest common multiple of 902,896,117,308,385 is 236396160.
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.
902 x 896 x 117 x 308 x 385 = 11212742661120
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
117 : 1, 3, 9, 13, 39, 117
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,896,117,308,385, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
896:2x 2x 2x 2x 2x 2x 2x 7
117:3x 3x 13
308:2x 2x 7x 11
385:5x 7x 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 7x 7x 11x 11 = 47432
Therefore, the value for common factors is 47432.
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 = 11212742661120/(1x47432)
LCM = 11212742661120/47432
LCM = 236396160
Thus, we can understand that the LCM of 902,896,117,308,385 is 236396160.
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FAQs on LCM of 902, 896, 117, 308, 385
1. What is the LCM of 902, 896, 117, 308, 385?
Answer: LCM of 902, 896, 117, 308, 385 is 236396160.
2. How to calculate the LCM of 902, 896, 117, 308, 385?
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 902, 896, 117, 308, 385.
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}.