Find the LCM of 608, 968, 978, 303, 121 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 608, 968, 978, 303, 121. So, keep reading to learn more.
Given numbers are 608,968,978,303,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,968,978,303,121 is 3633449952.
Find LCM of 608,968,978,303,121 with Prime Factorization
2 | 608, 968, 978, 303, 121 |
2 | 304, 484, 489, 303, 121 |
2 | 152, 242, 489, 303, 121 |
3 | 76, 121, 489, 303, 121 |
11 | 76, 121, 163, 101, 121 |
11 | 76, 11, 163, 101, 11 |
76, 1, 163, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 11 x 76 x 1 x 163 x 101 x 1 = 3633449952
Therefore, the lowest common multiple of 608,968,978,303,121 is 3633449952.
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.
608 x 968 x 978 x 303 x 121 = 21103077321216
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
978 : 1, 2, 3, 6, 163, 326, 489, 978
303 : 1, 3, 101, 303
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,968,978,303,121, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
968:2x 2x 2x 11x 11
978:2x 3x 163
303:3x 101
121:11x 11
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 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 21103077321216/(1x5808)
LCM = 21103077321216/5808
LCM = 3633449952
Thus, we can understand that the LCM of 608,968,978,303,121 is 3633449952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 968, 978, 303, 121?
Answer: LCM of 608, 968, 978, 303, 121 is 3633449952.
2. How to calculate the LCM of 608, 968, 978, 303, 121?
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 608, 968, 978, 303, 121.
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}.