Find the LCM of 721, 365, 817, 219 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 721, 365, 817, 219. So, keep reading to learn more.
Given numbers are 721,365,817,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,365,817,219 is 645017415.
Find LCM of 721,365,817,219 with Prime Factorization
73 | 721, 365, 817, 219 |
721, 5, 817, 3 |
Multiply the prime numbers at the bottom and the left side.
73 x 721 x 5 x 817 x 3 = 645017415
Therefore, the lowest common multiple of 721,365,817,219 is 645017415.
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.
721 x 365 x 817 x 219 = 47086271295
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.
721 : 1, 7, 103, 721
365 : 1, 5, 73, 365
817 : 1, 19, 43, 817
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,365,817,219, is 1.
Now, the common factors can be found like this.
721:7x 103
365:5x 73
817:19x 43
219:3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
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 = 47086271295/(1x73)
LCM = 47086271295/73
LCM = 645017415
Thus, we can understand that the LCM of 721,365,817,219 is 645017415.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 365, 817, 219?
Answer: LCM of 721, 365, 817, 219 is 645017415.
2. How to calculate the LCM of 721, 365, 817, 219?
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 721, 365, 817, 219.
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}.