LCM of 547, 949, 262, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 949, 262, 146 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 547, 949, 262, 146. So, keep reading to learn more.
Given numbers are 547,949,262,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,949,262,146 is 136004986.
Find LCM of 547,949,262,146 with Prime Factorization
| 2 | 547, 949, 262, 146 |
| 73 | 547, 949, 131, 73 |
| 547, 13, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 547 x 13 x 131 x 1 = 136004986
Therefore, the lowest common multiple of 547,949,262,146 is 136004986.
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.
547 x 949 x 262 x 146 = 19856727956
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.
547 : 1, 547
949 : 1, 13, 73, 949
262 : 1, 2, 131, 262
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,949,262,146, is 1.
Now, the common factors can be found like this.
547:547
949:13x 73
262:2x 131
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 19856727956/(1x146)
LCM = 19856727956/146
LCM = 136004986
Thus, we can understand that the LCM of 547,949,262,146 is 136004986.
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FAQs on LCM of 547, 949, 262, 146
1. What is the LCM of 547, 949, 262, 146?
Answer: LCM of 547, 949, 262, 146 is 136004986.
2. How to calculate the LCM of 547, 949, 262, 146?
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 547, 949, 262, 146.
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}.