LCM of 849, 755, 805, 255, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 755, 805, 255, 544 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 849, 755, 805, 255, 544. So, keep reading to learn more.
Given numbers are 849,755,805,255,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,755,805,255,544 is 56140906080.
Find LCM of 849,755,805,255,544 with Prime Factorization
| 3 | 849, 755, 805, 255, 544 |
| 5 | 283, 755, 805, 85, 544 |
| 17 | 283, 151, 161, 17, 544 |
| 283, 151, 161, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 283 x 151 x 161 x 1 x 32 = 56140906080
Therefore, the lowest common multiple of 849,755,805,255,544 is 56140906080.
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.
849 x 755 x 805 x 255 x 544 = 71579655252000
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.
849 : 1, 3, 283, 849
755 : 1, 5, 151, 755
805 : 1, 5, 7, 23, 35, 115, 161, 805
255 : 1, 3, 5, 15, 17, 51, 85, 255
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,755,805,255,544, is 1.
Now, the common factors can be found like this.
849:3x 283
755:5x 151
805:5x 7x 23
255:3x 5x 17
544:2x 2x 2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 17 = 1275
Therefore, the value for common factors is 1275.
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 = 71579655252000/(1x1275)
LCM = 71579655252000/1275
LCM = 56140906080
Thus, we can understand that the LCM of 849,755,805,255,544 is 56140906080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 849, 755, 805, 255, 544
1. What is the LCM of 849, 755, 805, 255, 544?
Answer: LCM of 849, 755, 805, 255, 544 is 56140906080.
2. How to calculate the LCM of 849, 755, 805, 255, 544?
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 849, 755, 805, 255, 544.
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}.