LCM of 721, 432, 689, 522, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 432, 689, 522, 586 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 721, 432, 689, 522, 586. So, keep reading to learn more.
Given numbers are 721,432,689,522,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,432,689,522,586 is 1823491955376.
Find LCM of 721,432,689,522,586 with Prime Factorization
| 2 | 721, 432, 689, 522, 586 |
| 3 | 721, 216, 689, 261, 293 |
| 3 | 721, 72, 689, 87, 293 |
| 721, 24, 689, 29, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 721 x 24 x 689 x 29 x 293 = 1823491955376
Therefore, the lowest common multiple of 721,432,689,522,586 is 1823491955376.
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.
721 x 432 x 689 x 522 x 586 = 65645710393536
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.
721 : 1, 7, 103, 721
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
689 : 1, 13, 53, 689
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,432,689,522,586, is 1.
Now, the common factors can be found like this.
721:7x 103
432:2x 2x 2x 2x 3x 3x 3
689:13x 53
522:2x 3x 3x 29
586:2x 293
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 65645710393536/(1x36)
LCM = 65645710393536/36
LCM = 1823491955376
Thus, we can understand that the LCM of 721,432,689,522,586 is 1823491955376.
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FAQs on LCM of 721, 432, 689, 522, 586
1. What is the LCM of 721, 432, 689, 522, 586?
Answer: LCM of 721, 432, 689, 522, 586 is 1823491955376.
2. How to calculate the LCM of 721, 432, 689, 522, 586?
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 721, 432, 689, 522, 586.
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}.