LCM of 187, 317, 374, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 317, 374, 762 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, 317, 374, 762. So, keep reading to learn more.
Given numbers are 187,317,374,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,317,374,762 is 45170598.
Find LCM of 187,317,374,762 with Prime Factorization
| 2 | 187, 317, 374, 762 |
| 11 | 187, 317, 187, 381 |
| 17 | 17, 317, 17, 381 |
| 1, 317, 1, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 1 x 317 x 1 x 381 = 45170598
Therefore, the lowest common multiple of 187,317,374,762 is 45170598.
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 317 x 374 x 762 = 16893803652
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
317 : 1, 317
374 : 1, 2, 11, 17, 22, 34, 187, 374
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,317,374,762, is 1.
Now, the common factors can be found like this.
187:11x 17
317:317
374:2x 11x 17
762:2x 3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 16893803652/(1x374)
LCM = 16893803652/374
LCM = 45170598
Thus, we can understand that the LCM of 187,317,374,762 is 45170598.
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FAQs on LCM of 187, 317, 374, 762
1. What is the LCM of 187, 317, 374, 762?
Answer: LCM of 187, 317, 374, 762 is 45170598.
2. How to calculate the LCM of 187, 317, 374, 762?
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, 317, 374, 762.
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}.