LCM of 305, 915, 989, 151
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 915, 989, 151 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 305, 915, 989, 151. So, keep reading to learn more.
Given numbers are 305,915,989,151
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,915,989,151 is 136645185.
Find LCM of 305,915,989,151 with Prime Factorization
| 5 | 305, 915, 989, 151 |
| 61 | 61, 183, 989, 151 |
| 1, 3, 989, 151 |
Multiply the prime numbers at the bottom and the left side.
5 x 61 x 1 x 3 x 989 x 151 = 136645185
Therefore, the lowest common multiple of 305,915,989,151 is 136645185.
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.
305 x 915 x 989 x 151 = 41676781425
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.
305 : 1, 5, 61, 305
915 : 1, 3, 5, 15, 61, 183, 305, 915
989 : 1, 23, 43, 989
151 : 1, 151
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,915,989,151, is 1.
Now, the common factors can be found like this.
305:5x 61
915:3x 5x 61
989:23x 43
151:151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 61 = 305
Therefore, the value for common factors is 305.
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 = 41676781425/(1x305)
LCM = 41676781425/305
LCM = 136645185
Thus, we can understand that the LCM of 305,915,989,151 is 136645185.
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FAQs on LCM of 305, 915, 989, 151
1. What is the LCM of 305, 915, 989, 151?
Answer: LCM of 305, 915, 989, 151 is 136645185.
2. How to calculate the LCM of 305, 915, 989, 151?
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 305, 915, 989, 151.
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}.