Find the LCM of 318, 941, 802, 742, 722 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 318, 941, 802, 742, 722. So, keep reading to learn more.
Given numbers are 318,941,802,742,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,941,802,742,722 is 303225944826.
Find LCM of 318,941,802,742,722 with Prime Factorization
2 | 318, 941, 802, 742, 722 |
53 | 159, 941, 401, 371, 361 |
3, 941, 401, 7, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 3 x 941 x 401 x 7 x 361 = 303225944826
Therefore, the lowest common multiple of 318,941,802,742,722 is 303225944826.
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.
318 x 941 x 802 x 742 x 722 = 128567800606224
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
941 : 1, 941
802 : 1, 2, 401, 802
742 : 1, 2, 7, 14, 53, 106, 371, 742
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,941,802,742,722, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
941:941
802:2x 401
742:2x 7x 53
722:2x 19x 19
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 53 = 424
Therefore, the value for common factors is 424.
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 = 128567800606224/(1x424)
LCM = 128567800606224/424
LCM = 303225944826
Thus, we can understand that the LCM of 318,941,802,742,722 is 303225944826.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 941, 802, 742, 722?
Answer: LCM of 318, 941, 802, 742, 722 is 303225944826.
2. How to calculate the LCM of 318, 941, 802, 742, 722?
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 318, 941, 802, 742, 722.
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}.