LCM of 106, 678, 901, 546, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 678, 901, 546, 689 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 106, 678, 901, 546, 689. So, keep reading to learn more.
Given numbers are 106,678,901,546,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,678,901,546,689 is 55589898.
Find LCM of 106,678,901,546,689 with Prime Factorization
| 2 | 106, 678, 901, 546, 689 |
| 3 | 53, 339, 901, 273, 689 |
| 13 | 53, 113, 901, 91, 689 |
| 53 | 53, 113, 901, 7, 53 |
| 1, 113, 17, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 1 x 113 x 17 x 7 x 1 = 55589898
Therefore, the lowest common multiple of 106,678,901,546,689 is 55589898.
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.
106 x 678 x 901 x 546 x 689 = 24359715663192
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.
106 : 1, 2, 53, 106
678 : 1, 2, 3, 6, 113, 226, 339, 678
901 : 1, 17, 53, 901
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,678,901,546,689, is 1.
Now, the common factors can be found like this.
106:2x 53
678:2x 3x 113
901:17x 53
546:2x 3x 7x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 13x 53x 53 = 438204
Therefore, the value for common factors is 438204.
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 = 24359715663192/(1x438204)
LCM = 24359715663192/438204
LCM = 55589898
Thus, we can understand that the LCM of 106,678,901,546,689 is 55589898.
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FAQs on LCM of 106, 678, 901, 546, 689
1. What is the LCM of 106, 678, 901, 546, 689?
Answer: LCM of 106, 678, 901, 546, 689 is 55589898.
2. How to calculate the LCM of 106, 678, 901, 546, 689?
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 106, 678, 901, 546, 689.
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}.