LCM of 881, 711, 409, 744, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 881, 711, 409, 744, 720 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 881, 711, 409, 744, 720. So, keep reading to learn more.
Given numbers are 881,711,409,744,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,711,409,744,720 is 635360919120.
Find LCM of 881,711,409,744,720 with Prime Factorization
| 2 | 881, 711, 409, 744, 720 |
| 2 | 881, 711, 409, 372, 360 |
| 2 | 881, 711, 409, 186, 180 |
| 3 | 881, 711, 409, 93, 90 |
| 3 | 881, 237, 409, 31, 30 |
| 881, 79, 409, 31, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 881 x 79 x 409 x 31 x 10 = 635360919120
Therefore, the lowest common multiple of 881,711,409,744,720 is 635360919120.
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.
881 x 711 x 409 x 744 x 720 = 137237958529920
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.
881 : 1, 881
711 : 1, 3, 9, 79, 237, 711
409 : 1, 409
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,711,409,744,720, is 1.
Now, the common factors can be found like this.
881:881
711:3x 3x 79
409:409
744:2x 2x 2x 3x 31
720:2x 2x 2x 2x 3x 3x 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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 137237958529920/(1x216)
LCM = 137237958529920/216
LCM = 635360919120
Thus, we can understand that the LCM of 881,711,409,744,720 is 635360919120.
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FAQs on LCM of 881, 711, 409, 744, 720
1. What is the LCM of 881, 711, 409, 744, 720?
Answer: LCM of 881, 711, 409, 744, 720 is 635360919120.
2. How to calculate the LCM of 881, 711, 409, 744, 720?
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 881, 711, 409, 744, 720.
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}.