LCM of 187, 930, 630, 905, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 930, 630, 905, 965 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, 930, 630, 905, 965. So, keep reading to learn more.
Given numbers are 187,930,630,905,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,930,630,905,965 is 127579158630.
Find LCM of 187,930,630,905,965 with Prime Factorization
| 2 | 187, 930, 630, 905, 965 |
| 3 | 187, 465, 315, 905, 965 |
| 5 | 187, 155, 105, 905, 965 |
| 187, 31, 21, 181, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 187 x 31 x 21 x 181 x 193 = 127579158630
Therefore, the lowest common multiple of 187,930,630,905,965 is 127579158630.
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 930 x 630 x 905 x 965 = 95684368972500
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
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
905 : 1, 5, 181, 905
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,930,630,905,965, is 1.
Now, the common factors can be found like this.
187:11x 17
930:2x 3x 5x 31
630:2x 3x 3x 5x 7
905:5x 181
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 95684368972500/(1x750)
LCM = 95684368972500/750
LCM = 127579158630
Thus, we can understand that the LCM of 187,930,630,905,965 is 127579158630.
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FAQs on LCM of 187, 930, 630, 905, 965
1. What is the LCM of 187, 930, 630, 905, 965?
Answer: LCM of 187, 930, 630, 905, 965 is 127579158630.
2. How to calculate the LCM of 187, 930, 630, 905, 965?
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, 930, 630, 905, 965.
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}.