LCM of 187, 660, 635, 578, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 660, 635, 578, 295 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, 660, 635, 578, 295. So, keep reading to learn more.
Given numbers are 187,660,635,578,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,660,635,578,295 is 1429214820.
Find LCM of 187,660,635,578,295 with Prime Factorization
| 2 | 187, 660, 635, 578, 295 |
| 5 | 187, 330, 635, 289, 295 |
| 11 | 187, 66, 127, 289, 59 |
| 17 | 17, 6, 127, 289, 59 |
| 1, 6, 127, 17, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 1 x 6 x 127 x 17 x 59 = 1429214820
Therefore, the lowest common multiple of 187,660,635,578,295 is 1429214820.
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 660 x 635 x 578 x 295 = 13363158567000
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
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
635 : 1, 5, 127, 635
578 : 1, 2, 17, 34, 289, 578
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,660,635,578,295, is 1.
Now, the common factors can be found like this.
187:11x 17
660:2x 2x 3x 5x 11
635:5x 127
578:2x 17x 17
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 17 = 9350
Therefore, the value for common factors is 9350.
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 = 13363158567000/(1x9350)
LCM = 13363158567000/9350
LCM = 1429214820
Thus, we can understand that the LCM of 187,660,635,578,295 is 1429214820.
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FAQs on LCM of 187, 660, 635, 578, 295
1. What is the LCM of 187, 660, 635, 578, 295?
Answer: LCM of 187, 660, 635, 578, 295 is 1429214820.
2. How to calculate the LCM of 187, 660, 635, 578, 295?
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, 660, 635, 578, 295.
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}.