LCM of 540, 251, 251, 114, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 251, 251, 114, 133 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 540, 251, 251, 114, 133. So, keep reading to learn more.
Given numbers are 540,251,251,114,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,251,251,114,133 is 18026820.
Find LCM of 540,251,251,114,133 with Prime Factorization
| 2 | 540, 251, 251, 114, 133 |
| 3 | 270, 251, 251, 57, 133 |
| 19 | 90, 251, 251, 19, 133 |
| 251 | 90, 251, 251, 1, 7 |
| 90, 1, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 251 x 90 x 1 x 1 x 1 x 7 = 18026820
Therefore, the lowest common multiple of 540,251,251,114,133 is 18026820.
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.
540 x 251 x 251 x 114 x 133 = 515819427480
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
251 : 1, 251
251 : 1, 251
114 : 1, 2, 3, 6, 19, 38, 57, 114
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,251,251,114,133, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
251:251
251:251
114:2x 3x 19
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19x 251 = 28614
Therefore, the value for common factors is 28614.
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 = 515819427480/(1x28614)
LCM = 515819427480/28614
LCM = 18026820
Thus, we can understand that the LCM of 540,251,251,114,133 is 18026820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 540, 251, 251, 114, 133
1. What is the LCM of 540, 251, 251, 114, 133?
Answer: LCM of 540, 251, 251, 114, 133 is 18026820.
2. How to calculate the LCM of 540, 251, 251, 114, 133?
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 540, 251, 251, 114, 133.
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}.