Find the LCM of 282, 455, 972, 786, 378 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 282, 455, 972, 786, 378. So, keep reading to learn more.
Given numbers are 282,455,972,786,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,455,972,786,378 is 2722994820.
Find LCM of 282,455,972,786,378 with Prime Factorization
2 | 282, 455, 972, 786, 378 |
3 | 141, 455, 486, 393, 189 |
3 | 47, 455, 162, 131, 63 |
3 | 47, 455, 54, 131, 21 |
7 | 47, 455, 18, 131, 7 |
47, 65, 18, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 47 x 65 x 18 x 131 x 1 = 2722994820
Therefore, the lowest common multiple of 282,455,972,786,378 is 2722994820.
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.
282 x 455 x 972 x 786 x 378 = 37054513510560
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
455 : 1, 5, 7, 13, 35, 65, 91, 455
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
786 : 1, 2, 3, 6, 131, 262, 393, 786
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,455,972,786,378, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
455:5x 7x 13
972:2x 2x 3x 3x 3x 3x 3
786:2x 3x 131
378:2x 3x 3x 3x 7
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 3x 3x 3x 3x 7 = 13608
Therefore, the value for common factors is 13608.
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 = 37054513510560/(1x13608)
LCM = 37054513510560/13608
LCM = 2722994820
Thus, we can understand that the LCM of 282,455,972,786,378 is 2722994820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 455, 972, 786, 378?
Answer: LCM of 282, 455, 972, 786, 378 is 2722994820.
2. How to calculate the LCM of 282, 455, 972, 786, 378?
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 282, 455, 972, 786, 378.
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}.