Find the LCM of 478, 578, 112, 159, 225 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 478, 578, 112, 159, 225. So, keep reading to learn more.
Given numbers are 478,578,112,159,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,578,112,159,225 is 92251227600.
Find LCM of 478,578,112,159,225 with Prime Factorization
2 | 478, 578, 112, 159, 225 |
3 | 239, 289, 56, 159, 225 |
239, 289, 56, 53, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 289 x 56 x 53 x 75 = 92251227600
Therefore, the lowest common multiple of 478,578,112,159,225 is 92251227600.
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.
478 x 578 x 112 x 159 x 225 = 1107014731200
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.
478 : 1, 2, 239, 478
578 : 1, 2, 17, 34, 289, 578
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
159 : 1, 3, 53, 159
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,578,112,159,225, is 1.
Now, the common factors can be found like this.
478:2x 239
578:2x 17x 17
112:2x 2x 2x 2x 7
159:3x 53
225:3x 3x 5x 5
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 3 = 12
Therefore, the value for common factors is 12.
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 = 1107014731200/(1x12)
LCM = 1107014731200/12
LCM = 92251227600
Thus, we can understand that the LCM of 478,578,112,159,225 is 92251227600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 578, 112, 159, 225?
Answer: LCM of 478, 578, 112, 159, 225 is 92251227600.
2. How to calculate the LCM of 478, 578, 112, 159, 225?
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 478, 578, 112, 159, 225.
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}.