Find the LCM of 926, 360, 804, 881, 147 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 926, 360, 804, 881, 147. So, keep reading to learn more.
Given numbers are 926,360,804,881,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,360,804,881,147 is 482092397640.
Find LCM of 926,360,804,881,147 with Prime Factorization
2 | 926, 360, 804, 881, 147 |
2 | 463, 180, 402, 881, 147 |
3 | 463, 90, 201, 881, 147 |
463, 30, 67, 881, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 30 x 67 x 881 x 49 = 482092397640
Therefore, the lowest common multiple of 926,360,804,881,147 is 482092397640.
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.
926 x 360 x 804 x 881 x 147 = 34710652630080
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.
926 : 1, 2, 463, 926
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
881 : 1, 881
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,360,804,881,147, is 1.
Now, the common factors can be found like this.
926:2x 463
360:2x 2x 2x 3x 3x 5
804:2x 2x 3x 67
881:881
147:3x 7x 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 3 = 72
Therefore, the value for common factors is 72.
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 = 34710652630080/(1x72)
LCM = 34710652630080/72
LCM = 482092397640
Thus, we can understand that the LCM of 926,360,804,881,147 is 482092397640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 360, 804, 881, 147?
Answer: LCM of 926, 360, 804, 881, 147 is 482092397640.
2. How to calculate the LCM of 926, 360, 804, 881, 147?
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 926, 360, 804, 881, 147.
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}.