Find the LCM of 958, 420, 765, 843, 922 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 958, 420, 765, 843, 922. So, keep reading to learn more.
Given numbers are 958,420,765,843,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,420,765,843,922 is 1329113977380.
Find LCM of 958,420,765,843,922 with Prime Factorization
2 | 958, 420, 765, 843, 922 |
3 | 479, 210, 765, 843, 461 |
5 | 479, 70, 255, 281, 461 |
479, 14, 51, 281, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 479 x 14 x 51 x 281 x 461 = 1329113977380
Therefore, the lowest common multiple of 958,420,765,843,922 is 1329113977380.
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.
958 x 420 x 765 x 843 x 922 = 239240515928400
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.
958 : 1, 2, 479, 958
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
843 : 1, 3, 281, 843
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,420,765,843,922, is 1.
Now, the common factors can be found like this.
958:2x 479
420:2x 2x 3x 5x 7
765:3x 3x 5x 17
843:3x 281
922:2x 461
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 239240515928400/(1x180)
LCM = 239240515928400/180
LCM = 1329113977380
Thus, we can understand that the LCM of 958,420,765,843,922 is 1329113977380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 958, 420, 765, 843, 922?
Answer: LCM of 958, 420, 765, 843, 922 is 1329113977380.
2. How to calculate the LCM of 958, 420, 765, 843, 922?
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 958, 420, 765, 843, 922.
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}.