LCM of 689, 659, 267, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 659, 267, 879 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, 659, 267, 879. So, keep reading to learn more.
Given numbers are 689,659,267,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,659,267,879 is 35520863781.
Find LCM of 689,659,267,879 with Prime Factorization
| 3 | 689, 659, 267, 879 |
| 689, 659, 89, 293 |
Multiply the prime numbers at the bottom and the left side.
3 x 689 x 659 x 89 x 293 = 35520863781
Therefore, the lowest common multiple of 689,659,267,879 is 35520863781.
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 659 x 267 x 879 = 106562591343
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
659 : 1, 659
267 : 1, 3, 89, 267
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,659,267,879, is 1.
Now, the common factors can be found like this.
689:13x 53
659:659
267:3x 89
879:3x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 106562591343/(1x3)
LCM = 106562591343/3
LCM = 35520863781
Thus, we can understand that the LCM of 689,659,267,879 is 35520863781.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 659, 267, 879
1. What is the LCM of 689, 659, 267, 879?
Answer: LCM of 689, 659, 267, 879 is 35520863781.
2. How to calculate the LCM of 689, 659, 267, 879?
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, 659, 267, 879.
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}.