LCM of 656, 728, 652, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 656, 728, 652, 196 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 656, 728, 652, 196. So, keep reading to learn more.
Given numbers are 656,728,652,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 656,728,652,196 is 68113136.
Find LCM of 656,728,652,196 with Prime Factorization
| 2 | 656, 728, 652, 196 |
| 2 | 328, 364, 326, 98 |
| 2 | 164, 182, 163, 49 |
| 7 | 82, 91, 163, 49 |
| 82, 13, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 82 x 13 x 163 x 7 = 68113136
Therefore, the lowest common multiple of 656,728,652,196 is 68113136.
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.
656 x 728 x 652 x 196 = 61029369856
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.
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
652 : 1, 2, 4, 163, 326, 652
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,728,652,196, is 4.
Now, the common factors can be found like this.
656:2x 2x 2x 2x 41
728:2x 2x 2x 7x 13
652:2x 2x 163
196:2x 2x 7x 7
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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 61029369856/(4x224)
LCM = 61029369856/896
LCM = 68113136
Thus, we can understand that the LCM of 656,728,652,196 is 68113136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 656, 728, 652, 196
1. What is the LCM of 656, 728, 652, 196?
Answer: LCM of 656, 728, 652, 196 is 68113136.
2. How to calculate the LCM of 656, 728, 652, 196?
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 656, 728, 652, 196.
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}.