LCM of 247, 363, 274, 741, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 363, 274, 741, 869 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 247, 363, 274, 741, 869. So, keep reading to learn more.
Given numbers are 247,363,274,741,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,363,274,741,869 is 1940802006.
Find LCM of 247,363,274,741,869 with Prime Factorization
| 3 | 247, 363, 274, 741, 869 |
| 11 | 247, 121, 274, 247, 869 |
| 13 | 247, 11, 274, 247, 79 |
| 19 | 19, 11, 274, 19, 79 |
| 1, 11, 274, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 19 x 1 x 11 x 274 x 1 x 79 = 1940802006
Therefore, the lowest common multiple of 247,363,274,741,869 is 1940802006.
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.
247 x 363 x 274 x 741 x 869 = 15819477150906
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.
247 : 1, 13, 19, 247
363 : 1, 3, 11, 33, 121, 363
274 : 1, 2, 137, 274
741 : 1, 3, 13, 19, 39, 57, 247, 741
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,363,274,741,869, is 1.
Now, the common factors can be found like this.
247:13x 19
363:3x 11x 11
274:2x 137
741:3x 13x 19
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13x 19 = 8151
Therefore, the value for common factors is 8151.
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 = 15819477150906/(1x8151)
LCM = 15819477150906/8151
LCM = 1940802006
Thus, we can understand that the LCM of 247,363,274,741,869 is 1940802006.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 363, 274, 741, 869
1. What is the LCM of 247, 363, 274, 741, 869?
Answer: LCM of 247, 363, 274, 741, 869 is 1940802006.
2. How to calculate the LCM of 247, 363, 274, 741, 869?
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 247, 363, 274, 741, 869.
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}.