Find the LCM of 538, 276, 529, 334, 167 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 538, 276, 529, 334, 167. So, keep reading to learn more.
Given numbers are 538,276,529,334,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,276,529,334,167 is 285171204.
Find LCM of 538,276,529,334,167 with Prime Factorization
2 | 538, 276, 529, 334, 167 |
23 | 269, 138, 529, 167, 167 |
167 | 269, 6, 23, 167, 167 |
269, 6, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 167 x 269 x 6 x 23 x 1 x 1 = 285171204
Therefore, the lowest common multiple of 538,276,529,334,167 is 285171204.
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.
538 x 276 x 529 x 334 x 167 = 4381370378256
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.
538 : 1, 2, 269, 538
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
529 : 1, 23, 529
334 : 1, 2, 167, 334
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,276,529,334,167, is 1.
Now, the common factors can be found like this.
538:2x 269
276:2x 2x 3x 23
529:23x 23
334:2x 167
167:167
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 23x 167 = 15364
Therefore, the value for common factors is 15364.
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 = 4381370378256/(1x15364)
LCM = 4381370378256/15364
LCM = 285171204
Thus, we can understand that the LCM of 538,276,529,334,167 is 285171204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 276, 529, 334, 167?
Answer: LCM of 538, 276, 529, 334, 167 is 285171204.
2. How to calculate the LCM of 538, 276, 529, 334, 167?
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 538, 276, 529, 334, 167.
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}.