Find the LCM of 689, 419, 781, 497, 662 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, 419, 781, 497, 662. So, keep reading to learn more.
Given numbers are 689,419,781,497,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,419,781,497,662 is 1044817187414.
Find LCM of 689,419,781,497,662 with Prime Factorization
71 | 689, 419, 781, 497, 662 |
689, 419, 11, 7, 662 |
Multiply the prime numbers at the bottom and the left side.
71 x 689 x 419 x 11 x 7 x 662 = 1044817187414
Therefore, the lowest common multiple of 689,419,781,497,662 is 1044817187414.
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 419 x 781 x 497 x 662 = 74182020306394
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
419 : 1, 419
781 : 1, 11, 71, 781
497 : 1, 7, 71, 497
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,419,781,497,662, is 1.
Now, the common factors can be found like this.
689:13x 53
419:419
781:11x 71
497:7x 71
662:2x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
71 = 71
Therefore, the value for common factors is 71.
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 = 74182020306394/(1x71)
LCM = 74182020306394/71
LCM = 1044817187414
Thus, we can understand that the LCM of 689,419,781,497,662 is 1044817187414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 419, 781, 497, 662?
Answer: LCM of 689, 419, 781, 497, 662 is 1044817187414.
2. How to calculate the LCM of 689, 419, 781, 497, 662?
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, 419, 781, 497, 662.
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}.