LCM of 901, 869, 918, 546, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 869, 918, 546, 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 901, 869, 918, 546, 997. So, keep reading to learn more.
Given numbers are 901,869,918,546,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,869,918,546,997 is 3835967137002.
Find LCM of 901,869,918,546,997 with Prime Factorization
| 2 | 901, 869, 918, 546, 997 |
| 3 | 901, 869, 459, 273, 997 |
| 17 | 901, 869, 153, 91, 997 |
| 53, 869, 9, 91, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 53 x 869 x 9 x 91 x 997 = 3835967137002
Therefore, the lowest common multiple of 901,869,918,546,997 is 3835967137002.
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.
901 x 869 x 918 x 546 x 997 = 391268647974204
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.
901 : 1, 17, 53, 901
869 : 1, 11, 79, 869
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,869,918,546,997, is 1.
Now, the common factors can be found like this.
901:17x 53
869:11x 79
918:2x 3x 3x 3x 17
546:2x 3x 7x 13
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 17 = 102
Therefore, the value for common factors is 102.
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 = 391268647974204/(1x102)
LCM = 391268647974204/102
LCM = 3835967137002
Thus, we can understand that the LCM of 901,869,918,546,997 is 3835967137002.
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FAQs on LCM of 901, 869, 918, 546, 997
1. What is the LCM of 901, 869, 918, 546, 997?
Answer: LCM of 901, 869, 918, 546, 997 is 3835967137002.
2. How to calculate the LCM of 901, 869, 918, 546, 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 901, 869, 918, 546, 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}.