LCM of 292, 538, 135, 141, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 538, 135, 141, 347 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 292, 538, 135, 141, 347. So, keep reading to learn more.
Given numbers are 292,538,135,141,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,538,135,141,347 is 172940309820.
Find LCM of 292,538,135,141,347 with Prime Factorization
| 2 | 292, 538, 135, 141, 347 |
| 3 | 146, 269, 135, 141, 347 |
| 146, 269, 45, 47, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 146 x 269 x 45 x 47 x 347 = 172940309820
Therefore, the lowest common multiple of 292,538,135,141,347 is 172940309820.
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.
292 x 538 x 135 x 141 x 347 = 1037641858920
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.
292 : 1, 2, 4, 73, 146, 292
538 : 1, 2, 269, 538
135 : 1, 3, 5, 9, 15, 27, 45, 135
141 : 1, 3, 47, 141
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,538,135,141,347, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
538:2x 269
135:3x 3x 3x 5
141:3x 47
347:347
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 1037641858920/(1x6)
LCM = 1037641858920/6
LCM = 172940309820
Thus, we can understand that the LCM of 292,538,135,141,347 is 172940309820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 538, 135, 141, 347
1. What is the LCM of 292, 538, 135, 141, 347?
Answer: LCM of 292, 538, 135, 141, 347 is 172940309820.
2. How to calculate the LCM of 292, 538, 135, 141, 347?
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 292, 538, 135, 141, 347.
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}.