LCM of 187, 978, 611, 832, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 978, 611, 832, 148 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 187, 978, 611, 832, 148. So, keep reading to learn more.
Given numbers are 187,978,611,832,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,978,611,832,148 is 132304121664.
Find LCM of 187,978,611,832,148 with Prime Factorization
| 2 | 187, 978, 611, 832, 148 |
| 2 | 187, 489, 611, 416, 74 |
| 13 | 187, 489, 611, 208, 37 |
| 187, 489, 47, 16, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 187 x 489 x 47 x 16 x 37 = 132304121664
Therefore, the lowest common multiple of 187,978,611,832,148 is 132304121664.
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.
187 x 978 x 611 x 832 x 148 = 13759628653056
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.
187 : 1, 11, 17, 187
978 : 1, 2, 3, 6, 163, 326, 489, 978
611 : 1, 13, 47, 611
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,978,611,832,148, is 1.
Now, the common factors can be found like this.
187:11x 17
978:2x 3x 163
611:13x 47
832:2x 2x 2x 2x 2x 2x 13
148:2x 2x 37
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 13 = 104
Therefore, the value for common factors is 104.
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 = 13759628653056/(1x104)
LCM = 13759628653056/104
LCM = 132304121664
Thus, we can understand that the LCM of 187,978,611,832,148 is 132304121664.
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FAQs on LCM of 187, 978, 611, 832, 148
1. What is the LCM of 187, 978, 611, 832, 148?
Answer: LCM of 187, 978, 611, 832, 148 is 132304121664.
2. How to calculate the LCM of 187, 978, 611, 832, 148?
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 187, 978, 611, 832, 148.
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}.