LCM of 487, 513, 927, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 513, 927, 152 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 487, 513, 927, 152. So, keep reading to learn more.
Given numbers are 487,513,927,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,513,927,152 is 205860744.
Find LCM of 487,513,927,152 with Prime Factorization
| 3 | 487, 513, 927, 152 |
| 3 | 487, 171, 309, 152 |
| 19 | 487, 57, 103, 152 |
| 487, 3, 103, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 487 x 3 x 103 x 8 = 205860744
Therefore, the lowest common multiple of 487,513,927,152 is 205860744.
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.
487 x 513 x 927 x 152 = 35202187224
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.
487 : 1, 487
513 : 1, 3, 9, 19, 27, 57, 171, 513
927 : 1, 3, 9, 103, 309, 927
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,513,927,152, is 1.
Now, the common factors can be found like this.
487:487
513:3x 3x 3x 19
927:3x 3x 103
152:2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 35202187224/(1x171)
LCM = 35202187224/171
LCM = 205860744
Thus, we can understand that the LCM of 487,513,927,152 is 205860744.
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FAQs on LCM of 487, 513, 927, 152
1. What is the LCM of 487, 513, 927, 152?
Answer: LCM of 487, 513, 927, 152 is 205860744.
2. How to calculate the LCM of 487, 513, 927, 152?
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 487, 513, 927, 152.
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}.