LCM of 845, 714, 569, 680, 662
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 714, 569, 680, 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 845, 714, 569, 680, 662. So, keep reading to learn more.
Given numbers are 845,714,569,680,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,714,569,680,662 is 454522275480.
Find LCM of 845,714,569,680,662 with Prime Factorization
| 2 | 845, 714, 569, 680, 662 |
| 5 | 845, 357, 569, 340, 331 |
| 17 | 169, 357, 569, 68, 331 |
| 169, 21, 569, 4, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 169 x 21 x 569 x 4 x 331 = 454522275480
Therefore, the lowest common multiple of 845,714,569,680,662 is 454522275480.
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.
845 x 714 x 569 x 680 x 662 = 154537573663200
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.
845 : 1, 5, 13, 65, 169, 845
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
569 : 1, 569
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,714,569,680,662, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
714:2x 3x 7x 17
569:569
680:2x 2x 2x 5x 17
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.
2x 2x 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 154537573663200/(1x340)
LCM = 154537573663200/340
LCM = 454522275480
Thus, we can understand that the LCM of 845,714,569,680,662 is 454522275480.
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FAQs on LCM of 845, 714, 569, 680, 662
1. What is the LCM of 845, 714, 569, 680, 662?
Answer: LCM of 845, 714, 569, 680, 662 is 454522275480.
2. How to calculate the LCM of 845, 714, 569, 680, 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 845, 714, 569, 680, 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}.