LCM of 296, 932, 204, 963, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 932, 204, 963, 749 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 296, 932, 204, 963, 749. So, keep reading to learn more.
Given numbers are 296,932,204,963,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,932,204,963,749 is 7903525896.
Find LCM of 296,932,204,963,749 with Prime Factorization
| 2 | 296, 932, 204, 963, 749 |
| 2 | 148, 466, 102, 963, 749 |
| 3 | 74, 233, 51, 963, 749 |
| 107 | 74, 233, 17, 321, 749 |
| 74, 233, 17, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 74 x 233 x 17 x 3 x 7 = 7903525896
Therefore, the lowest common multiple of 296,932,204,963,749 is 7903525896.
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.
296 x 932 x 204 x 963 x 749 = 40592509001856
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
932 : 1, 2, 4, 233, 466, 932
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
963 : 1, 3, 9, 107, 321, 963
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,932,204,963,749, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
932:2x 2x 233
204:2x 2x 3x 17
963:3x 3x 107
749:7x 107
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 2x 3x 107 = 5136
Therefore, the value for common factors is 5136.
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 = 40592509001856/(1x5136)
LCM = 40592509001856/5136
LCM = 7903525896
Thus, we can understand that the LCM of 296,932,204,963,749 is 7903525896.
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FAQs on LCM of 296, 932, 204, 963, 749
1. What is the LCM of 296, 932, 204, 963, 749?
Answer: LCM of 296, 932, 204, 963, 749 is 7903525896.
2. How to calculate the LCM of 296, 932, 204, 963, 749?
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 296, 932, 204, 963, 749.
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}.