LCM of 374, 174, 506, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 174, 506, 111 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 374, 174, 506, 111. So, keep reading to learn more.
Given numbers are 374,174,506,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,174,506,111 is 27689838.
Find LCM of 374,174,506,111 with Prime Factorization
| 2 | 374, 174, 506, 111 |
| 3 | 187, 87, 253, 111 |
| 11 | 187, 29, 253, 37 |
| 17, 29, 23, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 29 x 23 x 37 = 27689838
Therefore, the lowest common multiple of 374,174,506,111 is 27689838.
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.
374 x 174 x 506 x 111 = 3655058616
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
174 : 1, 2, 3, 6, 29, 58, 87, 174
506 : 1, 2, 11, 22, 23, 46, 253, 506
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,174,506,111, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
174:2x 3x 29
506:2x 11x 23
111:3x 37
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 3655058616/(1x132)
LCM = 3655058616/132
LCM = 27689838
Thus, we can understand that the LCM of 374,174,506,111 is 27689838.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 374, 174, 506, 111
1. What is the LCM of 374, 174, 506, 111?
Answer: LCM of 374, 174, 506, 111 is 27689838.
2. How to calculate the LCM of 374, 174, 506, 111?
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 374, 174, 506, 111.
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}.