LCM of 451, 861, 689, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 861, 689, 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 451, 861, 689, 689. So, keep reading to learn more.
Given numbers are 451,861,689,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,861,689,689 is 6525519.
Find LCM of 451,861,689,689 with Prime Factorization
| 13 | 451, 861, 689, 689 |
| 41 | 451, 861, 53, 53 |
| 53 | 11, 21, 53, 53 |
| 11, 21, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 41 x 53 x 11 x 21 x 1 x 1 = 6525519
Therefore, the lowest common multiple of 451,861,689,689 is 6525519.
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.
451 x 861 x 689 x 689 = 184339386231
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.
451 : 1, 11, 41, 451
861 : 1, 3, 7, 21, 41, 123, 287, 861
689 : 1, 13, 53, 689
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,861,689,689, is 1.
Now, the common factors can be found like this.
451:11x 41
861:3x 7x 41
689:13x 53
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.
13x 41x 53 = 28249
Therefore, the value for common factors is 28249.
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 = 184339386231/(1x28249)
LCM = 184339386231/28249
LCM = 6525519
Thus, we can understand that the LCM of 451,861,689,689 is 6525519.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 861, 689, 689
1. What is the LCM of 451, 861, 689, 689?
Answer: LCM of 451, 861, 689, 689 is 6525519.
2. How to calculate the LCM of 451, 861, 689, 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 451, 861, 689, 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}.