LCM of 717, 956, 501, 487
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 956, 501, 487 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 717, 956, 501, 487. So, keep reading to learn more.
Given numbers are 717,956,501,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,956,501,487 is 233251572.
Find LCM of 717,956,501,487 with Prime Factorization
| 3 | 717, 956, 501, 487 |
| 239 | 239, 956, 167, 487 |
| 1, 4, 167, 487 |
Multiply the prime numbers at the bottom and the left side.
3 x 239 x 1 x 4 x 167 x 487 = 233251572
Therefore, the lowest common multiple of 717,956,501,487 is 233251572.
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.
717 x 956 x 501 x 487 = 167241377124
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.
717 : 1, 3, 239, 717
956 : 1, 2, 4, 239, 478, 956
501 : 1, 3, 167, 501
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,956,501,487, is 1.
Now, the common factors can be found like this.
717:3x 239
956:2x 2x 239
501:3x 167
487:487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 239 = 717
Therefore, the value for common factors is 717.
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 = 167241377124/(1x717)
LCM = 167241377124/717
LCM = 233251572
Thus, we can understand that the LCM of 717,956,501,487 is 233251572.
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FAQs on LCM of 717, 956, 501, 487
1. What is the LCM of 717, 956, 501, 487?
Answer: LCM of 717, 956, 501, 487 is 233251572.
2. How to calculate the LCM of 717, 956, 501, 487?
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 717, 956, 501, 487.
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}.