LCM of 546, 487, 117, 792, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 487, 117, 792, 997 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 546, 487, 117, 792, 997. So, keep reading to learn more.
Given numbers are 546,487,117,792,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,487,117,792,997 is 34993766808.
Find LCM of 546,487,117,792,997 with Prime Factorization
| 2 | 546, 487, 117, 792, 997 |
| 3 | 273, 487, 117, 396, 997 |
| 3 | 91, 487, 39, 132, 997 |
| 13 | 91, 487, 13, 44, 997 |
| 7, 487, 1, 44, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 7 x 487 x 1 x 44 x 997 = 34993766808
Therefore, the lowest common multiple of 546,487,117,792,997 is 34993766808.
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.
546 x 487 x 117 x 792 x 997 = 24565624299216
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
487 : 1, 487
117 : 1, 3, 9, 13, 39, 117
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,487,117,792,997, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
487:487
117:3x 3x 13
792:2x 2x 2x 3x 3x 11
997:997
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 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 24565624299216/(1x702)
LCM = 24565624299216/702
LCM = 34993766808
Thus, we can understand that the LCM of 546,487,117,792,997 is 34993766808.
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FAQs on LCM of 546, 487, 117, 792, 997
1. What is the LCM of 546, 487, 117, 792, 997?
Answer: LCM of 546, 487, 117, 792, 997 is 34993766808.
2. How to calculate the LCM of 546, 487, 117, 792, 997?
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 546, 487, 117, 792, 997.
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}.