Find the LCM of 126, 420, 978, 755 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 126, 420, 978, 755. So, keep reading to learn more.
Given numbers are 126,420,978,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,420,978,755 is 31012380.
Find LCM of 126,420,978,755 with Prime Factorization
2 | 126, 420, 978, 755 |
3 | 63, 210, 489, 755 |
5 | 21, 70, 163, 755 |
7 | 21, 14, 163, 151 |
3, 2, 163, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 3 x 2 x 163 x 151 = 31012380
Therefore, the lowest common multiple of 126,420,978,755 is 31012380.
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.
126 x 420 x 978 x 755 = 39075598800
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,420,978,755, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
420:2x 2x 3x 5x 7
978:2x 3x 163
755:5x 151
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 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 39075598800/(1x1260)
LCM = 39075598800/1260
LCM = 31012380
Thus, we can understand that the LCM of 126,420,978,755 is 31012380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 126, 420, 978, 755?
Answer: LCM of 126, 420, 978, 755 is 31012380.
2. How to calculate the LCM of 126, 420, 978, 755?
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 126, 420, 978, 755.
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}.