LCM of 676, 689, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 689, 410 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 676, 689, 410. So, keep reading to learn more.
Given numbers are 676,689,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,689,410 is 7344740.
Find LCM of 676,689,410 with Prime Factorization
| 2 | 676, 689, 410 |
| 13 | 338, 689, 205 |
| 26, 53, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 26 x 53 x 205 = 7344740
Therefore, the lowest common multiple of 676,689,410 is 7344740.
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.
676 x 689 x 410 = 190963240
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
689 : 1, 13, 53, 689
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,689,410, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
689:13x 53
410:2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 190963240/(1x26)
LCM = 190963240/26
LCM = 7344740
Thus, we can understand that the LCM of 676,689,410 is 7344740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 676, 689, 410
1. What is the LCM of 676, 689, 410?
Answer: LCM of 676, 689, 410 is 7344740.
2. How to calculate the LCM of 676, 689, 410?
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 676, 689, 410.
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}.