LCM of 200, 626, 734, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 626, 734, 774 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 200, 626, 734, 774. So, keep reading to learn more.
Given numbers are 200,626,734,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,626,734,774 is 8891015400.
Find LCM of 200,626,734,774 with Prime Factorization
| 2 | 200, 626, 734, 774 |
| 100, 313, 367, 387 |
Multiply the prime numbers at the bottom and the left side.
2 x 100 x 313 x 367 x 387 = 8891015400
Therefore, the lowest common multiple of 200,626,734,774 is 8891015400.
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.
200 x 626 x 734 x 774 = 71128123200
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
626 : 1, 2, 313, 626
734 : 1, 2, 367, 734
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,626,734,774, is 2.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
626:2x 313
734:2x 367
774:2x 3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 71128123200/(2x4)
LCM = 71128123200/8
LCM = 8891015400
Thus, we can understand that the LCM of 200,626,734,774 is 8891015400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 200, 626, 734, 774
1. What is the LCM of 200, 626, 734, 774?
Answer: LCM of 200, 626, 734, 774 is 8891015400.
2. How to calculate the LCM of 200, 626, 734, 774?
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 200, 626, 734, 774.
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}.