LCM of 837, 457, 174, 920, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 457, 174, 920, 109 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 837, 457, 174, 920, 109. So, keep reading to learn more.
Given numbers are 837,457,174,920,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,457,174,920,109 is 1112382073080.
Find LCM of 837,457,174,920,109 with Prime Factorization
| 2 | 837, 457, 174, 920, 109 |
| 3 | 837, 457, 87, 460, 109 |
| 279, 457, 29, 460, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 279 x 457 x 29 x 460 x 109 = 1112382073080
Therefore, the lowest common multiple of 837,457,174,920,109 is 1112382073080.
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.
837 x 457 x 174 x 920 x 109 = 6674292438480
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
457 : 1, 457
174 : 1, 2, 3, 6, 29, 58, 87, 174
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,457,174,920,109, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
457:457
174:2x 3x 29
920:2x 2x 2x 5x 23
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 6674292438480/(1x6)
LCM = 6674292438480/6
LCM = 1112382073080
Thus, we can understand that the LCM of 837,457,174,920,109 is 1112382073080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 837, 457, 174, 920, 109
1. What is the LCM of 837, 457, 174, 920, 109?
Answer: LCM of 837, 457, 174, 920, 109 is 1112382073080.
2. How to calculate the LCM of 837, 457, 174, 920, 109?
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 837, 457, 174, 920, 109.
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}.