Find the LCM of 769, 746, 202, 986, 865 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 769, 746, 202, 986, 865. So, keep reading to learn more.
Given numbers are 769,746,202,986,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,746,202,986,865 is 24708681301930.
Find LCM of 769,746,202,986,865 with Prime Factorization
2 | 769, 746, 202, 986, 865 |
769, 373, 101, 493, 865 |
Multiply the prime numbers at the bottom and the left side.
2 x 769 x 373 x 101 x 493 x 865 = 24708681301930
Therefore, the lowest common multiple of 769,746,202,986,865 is 24708681301930.
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.
769 x 746 x 202 x 986 x 865 = 98834725207720
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.
769 : 1, 769
746 : 1, 2, 373, 746
202 : 1, 2, 101, 202
986 : 1, 2, 17, 29, 34, 58, 493, 986
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,746,202,986,865, is 1.
Now, the common factors can be found like this.
769:769
746:2x 373
202:2x 101
986:2x 17x 29
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 98834725207720/(1x4)
LCM = 98834725207720/4
LCM = 24708681301930
Thus, we can understand that the LCM of 769,746,202,986,865 is 24708681301930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 746, 202, 986, 865?
Answer: LCM of 769, 746, 202, 986, 865 is 24708681301930.
2. How to calculate the LCM of 769, 746, 202, 986, 865?
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 769, 746, 202, 986, 865.
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}.