LCM of 688, 480, 700, 822, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 480, 700, 822, 505 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 688, 480, 700, 822, 505. So, keep reading to learn more.
Given numbers are 688,480,700,822,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,480,700,822,505 is 9995848800.
Find LCM of 688,480,700,822,505 with Prime Factorization
| 2 | 688, 480, 700, 822, 505 |
| 2 | 344, 240, 350, 411, 505 |
| 2 | 172, 120, 175, 411, 505 |
| 2 | 86, 60, 175, 411, 505 |
| 3 | 43, 30, 175, 411, 505 |
| 5 | 43, 10, 175, 137, 505 |
| 43, 2, 35, 137, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 43 x 2 x 35 x 137 x 101 = 9995848800
Therefore, the lowest common multiple of 688,480,700,822,505 is 9995848800.
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.
688 x 480 x 700 x 822 x 505 = 95960148480000
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
822 : 1, 2, 3, 6, 137, 274, 411, 822
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,480,700,822,505, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
480:2x 2x 2x 2x 2x 3x 5
700:2x 2x 5x 5x 7
822:2x 3x 137
505:5x 101
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 2x 2x 2x 3x 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 95960148480000/(1x9600)
LCM = 95960148480000/9600
LCM = 9995848800
Thus, we can understand that the LCM of 688,480,700,822,505 is 9995848800.
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FAQs on LCM of 688, 480, 700, 822, 505
1. What is the LCM of 688, 480, 700, 822, 505?
Answer: LCM of 688, 480, 700, 822, 505 is 9995848800.
2. How to calculate the LCM of 688, 480, 700, 822, 505?
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 688, 480, 700, 822, 505.
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}.