LCM of 845, 221, 856, 312, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 221, 856, 312, 689 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, 221, 856, 312, 689. So, keep reading to learn more.
Given numbers are 845,221,856,312,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,221,856,312,689 is 1955133960.
Find LCM of 845,221,856,312,689 with Prime Factorization
| 2 | 845, 221, 856, 312, 689 |
| 2 | 845, 221, 428, 156, 689 |
| 2 | 845, 221, 214, 78, 689 |
| 13 | 845, 221, 107, 39, 689 |
| 65, 17, 107, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 65 x 17 x 107 x 3 x 53 = 1955133960
Therefore, the lowest common multiple of 845,221,856,312,689 is 1955133960.
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 221 x 856 x 312 x 689 = 34363434480960
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
221 : 1, 13, 17, 221
856 : 1, 2, 4, 8, 107, 214, 428, 856
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,221,856,312,689, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
221:13x 17
856:2x 2x 2x 107
312:2x 2x 2x 3x 13
689:13x 53
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 2x 13x 13x 13 = 17576
Therefore, the value for common factors is 17576.
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 = 34363434480960/(1x17576)
LCM = 34363434480960/17576
LCM = 1955133960
Thus, we can understand that the LCM of 845,221,856,312,689 is 1955133960.
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FAQs on LCM of 845, 221, 856, 312, 689
1. What is the LCM of 845, 221, 856, 312, 689?
Answer: LCM of 845, 221, 856, 312, 689 is 1955133960.
2. How to calculate the LCM of 845, 221, 856, 312, 689?
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, 221, 856, 312, 689.
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}.