LCM of 741, 200, 465, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 200, 465, 760 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 741, 200, 465, 760. So, keep reading to learn more.
Given numbers are 741,200,465,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,200,465,760 is 4594200.
Find LCM of 741,200,465,760 with Prime Factorization
| 2 | 741, 200, 465, 760 |
| 2 | 741, 100, 465, 380 |
| 2 | 741, 50, 465, 190 |
| 3 | 741, 25, 465, 95 |
| 5 | 247, 25, 155, 95 |
| 19 | 247, 5, 31, 19 |
| 13, 5, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 13 x 5 x 31 x 1 = 4594200
Therefore, the lowest common multiple of 741,200,465,760 is 4594200.
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.
741 x 200 x 465 x 760 = 52373880000
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
465 : 1, 3, 5, 15, 31, 93, 155, 465
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,200,465,760, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
200:2x 2x 2x 5x 5
465:3x 5x 31
760:2x 2x 2x 5x 19
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 2x 3x 5x 5x 19 = 11400
Therefore, the value for common factors is 11400.
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 = 52373880000/(1x11400)
LCM = 52373880000/11400
LCM = 4594200
Thus, we can understand that the LCM of 741,200,465,760 is 4594200.
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FAQs on LCM of 741, 200, 465, 760
1. What is the LCM of 741, 200, 465, 760?
Answer: LCM of 741, 200, 465, 760 is 4594200.
2. How to calculate the LCM of 741, 200, 465, 760?
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 741, 200, 465, 760.
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}.