LCM of 247, 855, 487, 601, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 855, 487, 601, 828 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 247, 855, 487, 601, 828. So, keep reading to learn more.
Given numbers are 247,855,487,601,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,855,487,601,828 is 299295872460.
Find LCM of 247,855,487,601,828 with Prime Factorization
| 3 | 247, 855, 487, 601, 828 |
| 3 | 247, 285, 487, 601, 276 |
| 19 | 247, 95, 487, 601, 92 |
| 13, 5, 487, 601, 92 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 13 x 5 x 487 x 601 x 92 = 299295872460
Therefore, the lowest common multiple of 247,855,487,601,828 is 299295872460.
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.
247 x 855 x 487 x 601 x 828 = 51179594190660
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.
247 : 1, 13, 19, 247
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
487 : 1, 487
601 : 1, 601
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,855,487,601,828, is 1.
Now, the common factors can be found like this.
247:13x 19
855:3x 3x 5x 19
487:487
601:601
828:2x 2x 3x 3x 23
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 = 51179594190660/(1x171)
LCM = 51179594190660/171
LCM = 299295872460
Thus, we can understand that the LCM of 247,855,487,601,828 is 299295872460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 855, 487, 601, 828
1. What is the LCM of 247, 855, 487, 601, 828?
Answer: LCM of 247, 855, 487, 601, 828 is 299295872460.
2. How to calculate the LCM of 247, 855, 487, 601, 828?
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 247, 855, 487, 601, 828.
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}.