Find the LCM of 227, 430, 802, 746, 746 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 227, 430, 802, 746, 746. So, keep reading to learn more.
Given numbers are 227,430,802,746,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,430,802,746,746 is 14599820530.
Find LCM of 227,430,802,746,746 with Prime Factorization
2 | 227, 430, 802, 746, 746 |
373 | 227, 215, 401, 373, 373 |
227, 215, 401, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 373 x 227 x 215 x 401 x 1 x 1 = 14599820530
Therefore, the lowest common multiple of 227,430,802,746,746 is 14599820530.
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.
227 x 430 x 802 x 746 x 746 = 43565864461520
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.
227 : 1, 227
430 : 1, 2, 5, 10, 43, 86, 215, 430
802 : 1, 2, 401, 802
746 : 1, 2, 373, 746
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,430,802,746,746, is 1.
Now, the common factors can be found like this.
227:227
430:2x 5x 43
802:2x 401
746:2x 373
746:2x 373
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 373 = 2984
Therefore, the value for common factors is 2984.
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 = 43565864461520/(1x2984)
LCM = 43565864461520/2984
LCM = 14599820530
Thus, we can understand that the LCM of 227,430,802,746,746 is 14599820530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 430, 802, 746, 746?
Answer: LCM of 227, 430, 802, 746, 746 is 14599820530.
2. How to calculate the LCM of 227, 430, 802, 746, 746?
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 227, 430, 802, 746, 746.
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}.