LCM of 814, 963, 595, 700, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 963, 595, 700, 550 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 814, 963, 595, 700, 550. So, keep reading to learn more.
Given numbers are 814,963,595,700,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,963,595,700,550 is 4664097900.
Find LCM of 814,963,595,700,550 with Prime Factorization
| 2 | 814, 963, 595, 700, 550 |
| 5 | 407, 963, 595, 350, 275 |
| 5 | 407, 963, 119, 70, 55 |
| 7 | 407, 963, 119, 14, 11 |
| 11 | 407, 963, 17, 2, 11 |
| 37, 963, 17, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 11 x 37 x 963 x 17 x 2 x 1 = 4664097900
Therefore, the lowest common multiple of 814,963,595,700,550 is 4664097900.
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.
814 x 963 x 595 x 700 x 550 = 179567769150000
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
963 : 1, 3, 9, 107, 321, 963
595 : 1, 5, 7, 17, 35, 85, 119, 595
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,963,595,700,550, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
963:3x 3x 107
595:5x 7x 17
700:2x 2x 5x 5x 7
550:2x 5x 5x 11
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 5x 5x 5x 7x 11 = 38500
Therefore, the value for common factors is 38500.
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 = 179567769150000/(1x38500)
LCM = 179567769150000/38500
LCM = 4664097900
Thus, we can understand that the LCM of 814,963,595,700,550 is 4664097900.
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FAQs on LCM of 814, 963, 595, 700, 550
1. What is the LCM of 814, 963, 595, 700, 550?
Answer: LCM of 814, 963, 595, 700, 550 is 4664097900.
2. How to calculate the LCM of 814, 963, 595, 700, 550?
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 814, 963, 595, 700, 550.
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}.