Find the LCM of 865, 731, 346, 977, 771 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, 731, 346, 977, 771. So, keep reading to learn more.
Given numbers are 865,731,346,977,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,731,346,977,771 is 952604046210.
Find LCM of 865,731,346,977,771 with Prime Factorization
173 | 865, 731, 346, 977, 771 |
5, 731, 2, 977, 771 |
Multiply the prime numbers at the bottom and the left side.
173 x 5 x 731 x 2 x 977 x 771 = 952604046210
Therefore, the lowest common multiple of 865,731,346,977,771 is 952604046210.
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 731 x 346 x 977 x 771 = 164800499994330
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
731 : 1, 17, 43, 731
346 : 1, 2, 173, 346
977 : 1, 977
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,731,346,977,771, is 1.
Now, the common factors can be found like this.
865:5x 173
731:17x 43
346:2x 173
977:977
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
173 = 173
Therefore, the value for common factors is 173.
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 = 164800499994330/(1x173)
LCM = 164800499994330/173
LCM = 952604046210
Thus, we can understand that the LCM of 865,731,346,977,771 is 952604046210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 865, 731, 346, 977, 771?
Answer: LCM of 865, 731, 346, 977, 771 is 952604046210.
2. How to calculate the LCM of 865, 731, 346, 977, 771?
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, 731, 346, 977, 771.
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}.