Find the LCM of 152, 361, 420, 922, 789 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 152, 361, 420, 922, 789. So, keep reading to learn more.
Given numbers are 152,361,420,922,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,361,420,922,789 is 36765727320.
Find LCM of 152,361,420,922,789 with Prime Factorization
2 | 152, 361, 420, 922, 789 |
2 | 76, 361, 210, 461, 789 |
3 | 38, 361, 105, 461, 789 |
19 | 38, 361, 35, 461, 263 |
2, 19, 35, 461, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 2 x 19 x 35 x 461 x 263 = 36765727320
Therefore, the lowest common multiple of 152,361,420,922,789 is 36765727320.
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.
152 x 361 x 420 x 922 x 789 = 16765171657920
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
361 : 1, 19, 361
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
922 : 1, 2, 461, 922
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,361,420,922,789, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
361:19x 19
420:2x 2x 3x 5x 7
922:2x 461
789:3x 263
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 16765171657920/(1x456)
LCM = 16765171657920/456
LCM = 36765727320
Thus, we can understand that the LCM of 152,361,420,922,789 is 36765727320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 361, 420, 922, 789?
Answer: LCM of 152, 361, 420, 922, 789 is 36765727320.
2. How to calculate the LCM of 152, 361, 420, 922, 789?
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 152, 361, 420, 922, 789.
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}.