Find the LCM of 281, 132, 962, 144, 978 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 281, 132, 962, 144, 978. So, keep reading to learn more.
Given numbers are 281,132,962,144,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,132,962,144,978 is 34897488912.
Find LCM of 281,132,962,144,978 with Prime Factorization
2 | 281, 132, 962, 144, 978 |
2 | 281, 66, 481, 72, 489 |
3 | 281, 33, 481, 36, 489 |
281, 11, 481, 12, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 281 x 11 x 481 x 12 x 163 = 34897488912
Therefore, the lowest common multiple of 281,132,962,144,978 is 34897488912.
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.
281 x 132 x 962 x 144 x 978 = 5025238403328
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.
281 : 1, 281
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
962 : 1, 2, 13, 26, 37, 74, 481, 962
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,132,962,144,978, is 1.
Now, the common factors can be found like this.
281:281
132:2x 2x 3x 11
962:2x 13x 37
144:2x 2x 2x 2x 3x 3
978:2x 3x 163
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 5025238403328/(1x144)
LCM = 5025238403328/144
LCM = 34897488912
Thus, we can understand that the LCM of 281,132,962,144,978 is 34897488912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 281, 132, 962, 144, 978?
Answer: LCM of 281, 132, 962, 144, 978 is 34897488912.
2. How to calculate the LCM of 281, 132, 962, 144, 978?
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 281, 132, 962, 144, 978.
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}.