LCM of 865, 807, 861, 186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 807, 861, 186 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 865, 807, 861, 186. So, keep reading to learn more.
Given numbers are 865,807,861,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,807,861,186 is 12421190670.
Find LCM of 865,807,861,186 with Prime Factorization
| 3 | 865, 807, 861, 186 |
| 865, 269, 287, 62 |
Multiply the prime numbers at the bottom and the left side.
3 x 865 x 269 x 287 x 62 = 12421190670
Therefore, the lowest common multiple of 865,807,861,186 is 12421190670.
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.
865 x 807 x 861 x 186 = 111790716030
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.
865 : 1, 5, 173, 865
807 : 1, 3, 269, 807
861 : 1, 3, 7, 21, 41, 123, 287, 861
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,807,861,186, is 1.
Now, the common factors can be found like this.
865:5x 173
807:3x 269
861:3x 7x 41
186:2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 111790716030/(1x9)
LCM = 111790716030/9
LCM = 12421190670
Thus, we can understand that the LCM of 865,807,861,186 is 12421190670.
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FAQs on LCM of 865, 807, 861, 186
1. What is the LCM of 865, 807, 861, 186?
Answer: LCM of 865, 807, 861, 186 is 12421190670.
2. How to calculate the LCM of 865, 807, 861, 186?
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 865, 807, 861, 186.
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}.