LCM of 896, 935, 620, 453, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 935, 620, 453, 195 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 896, 935, 620, 453, 195. So, keep reading to learn more.
Given numbers are 896,935,620,453,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,935,620,453,195 is 152940627840.
Find LCM of 896,935,620,453,195 with Prime Factorization
| 2 | 896, 935, 620, 453, 195 |
| 2 | 448, 935, 310, 453, 195 |
| 3 | 224, 935, 155, 453, 195 |
| 5 | 224, 935, 155, 151, 65 |
| 224, 187, 31, 151, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 224 x 187 x 31 x 151 x 13 = 152940627840
Therefore, the lowest common multiple of 896,935,620,453,195 is 152940627840.
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.
896 x 935 x 620 x 453 x 195 = 45882188352000
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
935 : 1, 5, 11, 17, 55, 85, 187, 935
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
453 : 1, 3, 151, 453
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,935,620,453,195, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
935:5x 11x 17
620:2x 2x 5x 31
453:3x 151
195:3x 5x 13
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 45882188352000/(1x300)
LCM = 45882188352000/300
LCM = 152940627840
Thus, we can understand that the LCM of 896,935,620,453,195 is 152940627840.
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FAQs on LCM of 896, 935, 620, 453, 195
1. What is the LCM of 896, 935, 620, 453, 195?
Answer: LCM of 896, 935, 620, 453, 195 is 152940627840.
2. How to calculate the LCM of 896, 935, 620, 453, 195?
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 896, 935, 620, 453, 195.
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}.