LCM of 196, 294, 889, 939, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 196, 294, 889, 939, 812 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 196, 294, 889, 939, 812. So, keep reading to learn more.
Given numbers are 196,294,889,939,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,294,889,939,812 is 677834052.
Find LCM of 196,294,889,939,812 with Prime Factorization
| 2 | 196, 294, 889, 939, 812 |
| 2 | 98, 147, 889, 939, 406 |
| 3 | 49, 147, 889, 939, 203 |
| 7 | 49, 49, 889, 313, 203 |
| 7 | 7, 7, 127, 313, 29 |
| 1, 1, 127, 313, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 1 x 1 x 127 x 313 x 29 = 677834052
Therefore, the lowest common multiple of 196,294,889,939,812 is 677834052.
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.
196 x 294 x 889 x 939 x 812 = 39059509412448
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
889 : 1, 7, 127, 889
939 : 1, 3, 313, 939
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,294,889,939,812, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
294:2x 3x 7x 7
889:7x 127
939:3x 313
812:2x 2x 7x 29
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 3x 7x 7x 7x 7 = 57624
Therefore, the value for common factors is 57624.
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 = 39059509412448/(1x57624)
LCM = 39059509412448/57624
LCM = 677834052
Thus, we can understand that the LCM of 196,294,889,939,812 is 677834052.
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FAQs on LCM of 196, 294, 889, 939, 812
1. What is the LCM of 196, 294, 889, 939, 812?
Answer: LCM of 196, 294, 889, 939, 812 is 677834052.
2. How to calculate the LCM of 196, 294, 889, 939, 812?
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 196, 294, 889, 939, 812.
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}.