LCM of 720, 431, 222, 665, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 431, 222, 665, 699 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 720, 431, 222, 665, 699. So, keep reading to learn more.
Given numbers are 720,431,222,665,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,431,222,665,699 is 355810739760.
Find LCM of 720,431,222,665,699 with Prime Factorization
| 2 | 720, 431, 222, 665, 699 |
| 3 | 360, 431, 111, 665, 699 |
| 5 | 120, 431, 37, 665, 233 |
| 24, 431, 37, 133, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 24 x 431 x 37 x 133 x 233 = 355810739760
Therefore, the lowest common multiple of 720,431,222,665,699 is 355810739760.
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.
720 x 431 x 222 x 665 x 699 = 32022966578400
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
431 : 1, 431
222 : 1, 2, 3, 6, 37, 74, 111, 222
665 : 1, 5, 7, 19, 35, 95, 133, 665
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,431,222,665,699, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
431:431
222:2x 3x 37
665:5x 7x 19
699:3x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 32022966578400/(1x90)
LCM = 32022966578400/90
LCM = 355810739760
Thus, we can understand that the LCM of 720,431,222,665,699 is 355810739760.
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FAQs on LCM of 720, 431, 222, 665, 699
1. What is the LCM of 720, 431, 222, 665, 699?
Answer: LCM of 720, 431, 222, 665, 699 is 355810739760.
2. How to calculate the LCM of 720, 431, 222, 665, 699?
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 720, 431, 222, 665, 699.
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}.