LCM of 755, 198, 585, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 198, 585, 754 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 755, 198, 585, 754. So, keep reading to learn more.
Given numbers are 755,198,585,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,198,585,754 is 56357730.
Find LCM of 755,198,585,754 with Prime Factorization
| 2 | 755, 198, 585, 754 |
| 3 | 755, 99, 585, 377 |
| 3 | 755, 33, 195, 377 |
| 5 | 755, 11, 65, 377 |
| 13 | 151, 11, 13, 377 |
| 151, 11, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 151 x 11 x 1 x 29 = 56357730
Therefore, the lowest common multiple of 755,198,585,754 is 56357730.
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.
755 x 198 x 585 x 754 = 65938544100
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.
755 : 1, 5, 151, 755
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,198,585,754, is 1.
Now, the common factors can be found like this.
755:5x 151
198:2x 3x 3x 11
585:3x 3x 5x 13
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 65938544100/(1x1170)
LCM = 65938544100/1170
LCM = 56357730
Thus, we can understand that the LCM of 755,198,585,754 is 56357730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 755, 198, 585, 754
1. What is the LCM of 755, 198, 585, 754?
Answer: LCM of 755, 198, 585, 754 is 56357730.
2. How to calculate the LCM of 755, 198, 585, 754?
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 755, 198, 585, 754.
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}.