LCM of 370, 405, 782, 681, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 405, 782, 681, 750 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 370, 405, 782, 681, 750. So, keep reading to learn more.
Given numbers are 370,405,782,681,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,405,782,681,750 is 66501182250.
Find LCM of 370,405,782,681,750 with Prime Factorization
| 2 | 370, 405, 782, 681, 750 |
| 3 | 185, 405, 391, 681, 375 |
| 5 | 185, 135, 391, 227, 125 |
| 37, 27, 391, 227, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 37 x 27 x 391 x 227 x 25 = 66501182250
Therefore, the lowest common multiple of 370,405,782,681,750 is 66501182250.
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.
370 x 405 x 782 x 681 x 750 = 59851064025000
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
782 : 1, 2, 17, 23, 34, 46, 391, 782
681 : 1, 3, 227, 681
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,405,782,681,750, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
405:3x 3x 3x 3x 5
782:2x 17x 23
681:3x 227
750:2x 3x 5x 5x 5
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 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 59851064025000/(1x900)
LCM = 59851064025000/900
LCM = 66501182250
Thus, we can understand that the LCM of 370,405,782,681,750 is 66501182250.
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FAQs on LCM of 370, 405, 782, 681, 750
1. What is the LCM of 370, 405, 782, 681, 750?
Answer: LCM of 370, 405, 782, 681, 750 is 66501182250.
2. How to calculate the LCM of 370, 405, 782, 681, 750?
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 370, 405, 782, 681, 750.
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}.