LCM of 661, 394, 936, 732, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 394, 936, 732, 947 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 661, 394, 936, 732, 947. So, keep reading to learn more.
Given numbers are 661,394,936,732,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,394,936,732,947 is 7040821730904.
Find LCM of 661,394,936,732,947 with Prime Factorization
| 2 | 661, 394, 936, 732, 947 |
| 2 | 661, 197, 468, 366, 947 |
| 3 | 661, 197, 234, 183, 947 |
| 661, 197, 78, 61, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 661 x 197 x 78 x 61 x 947 = 7040821730904
Therefore, the lowest common multiple of 661,394,936,732,947 is 7040821730904.
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.
661 x 394 x 936 x 732 x 947 = 168979721541696
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.
661 : 1, 661
394 : 1, 2, 197, 394
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,394,936,732,947, is 1.
Now, the common factors can be found like this.
661:661
394:2x 197
936:2x 2x 2x 3x 3x 13
732:2x 2x 3x 61
947:947
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 3 = 24
Therefore, the value for common factors is 24.
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 = 168979721541696/(1x24)
LCM = 168979721541696/24
LCM = 7040821730904
Thus, we can understand that the LCM of 661,394,936,732,947 is 7040821730904.
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FAQs on LCM of 661, 394, 936, 732, 947
1. What is the LCM of 661, 394, 936, 732, 947?
Answer: LCM of 661, 394, 936, 732, 947 is 7040821730904.
2. How to calculate the LCM of 661, 394, 936, 732, 947?
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 661, 394, 936, 732, 947.
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}.