LCM of 859, 105, 889, 495, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 105, 889, 495, 550 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 859, 105, 889, 495, 550. So, keep reading to learn more.
Given numbers are 859,105,889,495,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,105,889,495,550 is 3780072450.
Find LCM of 859,105,889,495,550 with Prime Factorization
| 3 | 859, 105, 889, 495, 550 |
| 5 | 859, 35, 889, 165, 550 |
| 7 | 859, 7, 889, 33, 110 |
| 11 | 859, 1, 127, 33, 110 |
| 859, 1, 127, 3, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 859 x 1 x 127 x 3 x 10 = 3780072450
Therefore, the lowest common multiple of 859,105,889,495,550 is 3780072450.
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.
859 x 105 x 889 x 495 x 550 = 21829918398750
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.
859 : 1, 859
105 : 1, 3, 5, 7, 15, 21, 35, 105
889 : 1, 7, 127, 889
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,105,889,495,550, is 1.
Now, the common factors can be found like this.
859:859
105:3x 5x 7
889:7x 127
495:3x 3x 5x 11
550:2x 5x 5x 11
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 7x 11 = 5775
Therefore, the value for common factors is 5775.
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 = 21829918398750/(1x5775)
LCM = 21829918398750/5775
LCM = 3780072450
Thus, we can understand that the LCM of 859,105,889,495,550 is 3780072450.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 859, 105, 889, 495, 550
1. What is the LCM of 859, 105, 889, 495, 550?
Answer: LCM of 859, 105, 889, 495, 550 is 3780072450.
2. How to calculate the LCM of 859, 105, 889, 495, 550?
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 859, 105, 889, 495, 550.
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}.