LCM of 754, 628, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 628, 913 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 754, 628, 913. So, keep reading to learn more.
Given numbers are 754,628,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,628,913 is 216158228.
Find LCM of 754,628,913 with Prime Factorization
| 2 | 754, 628, 913 |
| 377, 314, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 377 x 314 x 913 = 216158228
Therefore, the lowest common multiple of 754,628,913 is 216158228.
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.
754 x 628 x 913 = 432316456
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
628 : 1, 2, 4, 157, 314, 628
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,628,913, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
628:2x 2x 157
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 432316456/(1x2)
LCM = 432316456/2
LCM = 216158228
Thus, we can understand that the LCM of 754,628,913 is 216158228.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 754, 628, 913
1. What is the LCM of 754, 628, 913?
Answer: LCM of 754, 628, 913 is 216158228.
2. How to calculate the LCM of 754, 628, 913?
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 754, 628, 913.
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}.