LCM of 834, 544, 941, 180, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 544, 941, 180, 884 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 834, 544, 941, 180, 884. So, keep reading to learn more.
Given numbers are 834,544,941,180,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,544,941,180,884 is 41625473760.
Find LCM of 834,544,941,180,884 with Prime Factorization
| 2 | 834, 544, 941, 180, 884 |
| 2 | 417, 272, 941, 90, 442 |
| 3 | 417, 136, 941, 45, 221 |
| 17 | 139, 136, 941, 15, 221 |
| 139, 8, 941, 15, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 139 x 8 x 941 x 15 x 13 = 41625473760
Therefore, the lowest common multiple of 834,544,941,180,884 is 41625473760.
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.
834 x 544 x 941 x 180 x 884 = 67932773176320
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
941 : 1, 941
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,544,941,180,884, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
544:2x 2x 2x 2x 2x 17
941:941
180:2x 2x 3x 3x 5
884:2x 2x 13x 17
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 2x 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 67932773176320/(1x1632)
LCM = 67932773176320/1632
LCM = 41625473760
Thus, we can understand that the LCM of 834,544,941,180,884 is 41625473760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 834, 544, 941, 180, 884
1. What is the LCM of 834, 544, 941, 180, 884?
Answer: LCM of 834, 544, 941, 180, 884 is 41625473760.
2. How to calculate the LCM of 834, 544, 941, 180, 884?
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 834, 544, 941, 180, 884.
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}.