LCM of 686, 901, 583, 538, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 901, 583, 538, 840 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 686, 901, 583, 538, 840. So, keep reading to learn more.
Given numbers are 686,901,583,538,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,901,583,538,840 is 109734988440.
Find LCM of 686,901,583,538,840 with Prime Factorization
| 2 | 686, 901, 583, 538, 840 |
| 7 | 343, 901, 583, 269, 420 |
| 53 | 49, 901, 583, 269, 60 |
| 49, 17, 11, 269, 60 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 49 x 17 x 11 x 269 x 60 = 109734988440
Therefore, the lowest common multiple of 686,901,583,538,840 is 109734988440.
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.
686 x 901 x 583 x 538 x 840 = 162846722844960
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
901 : 1, 17, 53, 901
583 : 1, 11, 53, 583
538 : 1, 2, 269, 538
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,901,583,538,840, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
901:17x 53
583:11x 53
538:2x 269
840:2x 2x 2x 3x 5x 7
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 7x 53 = 1484
Therefore, the value for common factors is 1484.
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 = 162846722844960/(1x1484)
LCM = 162846722844960/1484
LCM = 109734988440
Thus, we can understand that the LCM of 686,901,583,538,840 is 109734988440.
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FAQs on LCM of 686, 901, 583, 538, 840
1. What is the LCM of 686, 901, 583, 538, 840?
Answer: LCM of 686, 901, 583, 538, 840 is 109734988440.
2. How to calculate the LCM of 686, 901, 583, 538, 840?
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 686, 901, 583, 538, 840.
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}.