Find the LCM of 598, 122, 892, 260, 223 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 598, 122, 892, 260, 223. So, keep reading to learn more.
Given numbers are 598,122,892,260,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,122,892,260,223 is 81345940.
Find LCM of 598,122,892,260,223 with Prime Factorization
2 | 598, 122, 892, 260, 223 |
2 | 299, 61, 446, 130, 223 |
13 | 299, 61, 223, 65, 223 |
223 | 23, 61, 223, 5, 223 |
23, 61, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 223 x 23 x 61 x 1 x 5 x 1 = 81345940
Therefore, the lowest common multiple of 598,122,892,260,223 is 81345940.
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.
598 x 122 x 892 x 260 x 223 = 3773150080960
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
122 : 1, 2, 61, 122
892 : 1, 2, 4, 223, 446, 892
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,122,892,260,223, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
122:2x 61
892:2x 2x 223
260:2x 2x 5x 13
223:223
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 2x 13x 223 = 46384
Therefore, the value for common factors is 46384.
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 = 3773150080960/(1x46384)
LCM = 3773150080960/46384
LCM = 81345940
Thus, we can understand that the LCM of 598,122,892,260,223 is 81345940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 122, 892, 260, 223?
Answer: LCM of 598, 122, 892, 260, 223 is 81345940.
2. How to calculate the LCM of 598, 122, 892, 260, 223?
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 598, 122, 892, 260, 223.
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}.