LCM of 840, 689, 676, 323, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 840, 689, 676, 323, 531 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 840, 689, 676, 323, 531. So, keep reading to learn more.
Given numbers are 840,689,676,323,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,689,676,323,531 is 430147743480.
Find LCM of 840,689,676,323,531 with Prime Factorization
| 2 | 840, 689, 676, 323, 531 |
| 2 | 420, 689, 338, 323, 531 |
| 3 | 210, 689, 169, 323, 531 |
| 13 | 70, 689, 169, 323, 177 |
| 70, 53, 13, 323, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 70 x 53 x 13 x 323 x 177 = 430147743480
Therefore, the lowest common multiple of 840,689,676,323,531 is 430147743480.
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.
840 x 689 x 676 x 323 x 531 = 67103047982880
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
689 : 1, 13, 53, 689
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
323 : 1, 17, 19, 323
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,689,676,323,531, is 1.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
689:13x 53
676:2x 2x 13x 13
323:17x 19
531:3x 3x 59
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 13 = 156
Therefore, the value for common factors is 156.
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 = 67103047982880/(1x156)
LCM = 67103047982880/156
LCM = 430147743480
Thus, we can understand that the LCM of 840,689,676,323,531 is 430147743480.
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FAQs on LCM of 840, 689, 676, 323, 531
1. What is the LCM of 840, 689, 676, 323, 531?
Answer: LCM of 840, 689, 676, 323, 531 is 430147743480.
2. How to calculate the LCM of 840, 689, 676, 323, 531?
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 840, 689, 676, 323, 531.
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}.