Find the LCM of 742, 911, 802, 909, 721 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 742, 911, 802, 909, 721. So, keep reading to learn more.
Given numbers are 742,911,802,909,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,911,802,909,721 is 25378605963774.
Find LCM of 742,911,802,909,721 with Prime Factorization
2 | 742, 911, 802, 909, 721 |
7 | 371, 911, 401, 909, 721 |
53, 911, 401, 909, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 911 x 401 x 909 x 103 = 25378605963774
Therefore, the lowest common multiple of 742,911,802,909,721 is 25378605963774.
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.
742 x 911 x 802 x 909 x 721 = 355300483492836
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
911 : 1, 911
802 : 1, 2, 401, 802
909 : 1, 3, 9, 101, 303, 909
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,911,802,909,721, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
911:911
802:2x 401
909:3x 3x 101
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 355300483492836/(1x14)
LCM = 355300483492836/14
LCM = 25378605963774
Thus, we can understand that the LCM of 742,911,802,909,721 is 25378605963774.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 911, 802, 909, 721?
Answer: LCM of 742, 911, 802, 909, 721 is 25378605963774.
2. How to calculate the LCM of 742, 911, 802, 909, 721?
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 742, 911, 802, 909, 721.
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}.