LCM of 947, 438, 306, 105, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 947, 438, 306, 105, 816 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 947, 438, 306, 105, 816. So, keep reading to learn more.
Given numbers are 947,438,306,105,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,438,306,105,816 is 5923144080.
Find LCM of 947,438,306,105,816 with Prime Factorization
| 2 | 947, 438, 306, 105, 816 |
| 3 | 947, 219, 153, 105, 408 |
| 17 | 947, 73, 51, 35, 136 |
| 947, 73, 3, 35, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 947 x 73 x 3 x 35 x 8 = 5923144080
Therefore, the lowest common multiple of 947,438,306,105,816 is 5923144080.
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.
947 x 438 x 306 x 105 x 816 = 10874892530880
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.
947 : 1, 947
438 : 1, 2, 3, 6, 73, 146, 219, 438
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
105 : 1, 3, 5, 7, 15, 21, 35, 105
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,438,306,105,816, is 1.
Now, the common factors can be found like this.
947:947
438:2x 3x 73
306:2x 3x 3x 17
105:3x 5x 7
816:2x 2x 2x 2x 3x 17
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 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 10874892530880/(1x1836)
LCM = 10874892530880/1836
LCM = 5923144080
Thus, we can understand that the LCM of 947,438,306,105,816 is 5923144080.
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FAQs on LCM of 947, 438, 306, 105, 816
1. What is the LCM of 947, 438, 306, 105, 816?
Answer: LCM of 947, 438, 306, 105, 816 is 5923144080.
2. How to calculate the LCM of 947, 438, 306, 105, 816?
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 947, 438, 306, 105, 816.
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}.