LCM of 689, 848, 364, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 848, 364, 131 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 689, 848, 364, 131. So, keep reading to learn more.
Given numbers are 689,848,364,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,848,364,131 is 10109008.
Find LCM of 689,848,364,131 with Prime Factorization
| 2 | 689, 848, 364, 131 |
| 2 | 689, 424, 182, 131 |
| 13 | 689, 212, 91, 131 |
| 53 | 53, 212, 7, 131 |
| 1, 4, 7, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 1 x 4 x 7 x 131 = 10109008
Therefore, the lowest common multiple of 689,848,364,131 is 10109008.
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.
689 x 848 x 364 x 131 = 27860426048
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.
689 : 1, 13, 53, 689
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,848,364,131, is 1.
Now, the common factors can be found like this.
689:13x 53
848:2x 2x 2x 2x 53
364:2x 2x 7x 13
131:131
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 13x 53 = 2756
Therefore, the value for common factors is 2756.
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 = 27860426048/(1x2756)
LCM = 27860426048/2756
LCM = 10109008
Thus, we can understand that the LCM of 689,848,364,131 is 10109008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 848, 364, 131
1. What is the LCM of 689, 848, 364, 131?
Answer: LCM of 689, 848, 364, 131 is 10109008.
2. How to calculate the LCM of 689, 848, 364, 131?
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 689, 848, 364, 131.
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}.