LCM of 592, 750, 814, 372, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 750, 814, 372, 649 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 592, 750, 814, 372, 649. So, keep reading to learn more.
Given numbers are 592,750,814,372,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,750,814,372,649 is 4466418000.
Find LCM of 592,750,814,372,649 with Prime Factorization
| 2 | 592, 750, 814, 372, 649 |
| 2 | 296, 375, 407, 186, 649 |
| 3 | 148, 375, 407, 93, 649 |
| 11 | 148, 125, 407, 31, 649 |
| 37 | 148, 125, 37, 31, 59 |
| 4, 125, 1, 31, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 37 x 4 x 125 x 1 x 31 x 59 = 4466418000
Therefore, the lowest common multiple of 592,750,814,372,649 is 4466418000.
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.
592 x 750 x 814 x 372 x 649 = 87255942048000
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
814 : 1, 2, 11, 22, 37, 74, 407, 814
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,750,814,372,649, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
750:2x 3x 5x 5x 5
814:2x 11x 37
372:2x 2x 3x 31
649:11x 59
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 2x 3x 11x 37 = 19536
Therefore, the value for common factors is 19536.
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 = 87255942048000/(1x19536)
LCM = 87255942048000/19536
LCM = 4466418000
Thus, we can understand that the LCM of 592,750,814,372,649 is 4466418000.
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FAQs on LCM of 592, 750, 814, 372, 649
1. What is the LCM of 592, 750, 814, 372, 649?
Answer: LCM of 592, 750, 814, 372, 649 is 4466418000.
2. How to calculate the LCM of 592, 750, 814, 372, 649?
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 592, 750, 814, 372, 649.
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}.