Find the LCM of 769, 946, 916, 713 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, 946, 916, 713. So, keep reading to learn more.
Given numbers are 769,946,916,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,946,916,713 is 237559544596.
Find LCM of 769,946,916,713 with Prime Factorization
2 | 769, 946, 916, 713 |
769, 473, 458, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 769 x 473 x 458 x 713 = 237559544596
Therefore, the lowest common multiple of 769,946,916,713 is 237559544596.
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 946 x 916 x 713 = 475119089192
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
946 : 1, 2, 11, 22, 43, 86, 473, 946
916 : 1, 2, 4, 229, 458, 916
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,946,916,713, is 1.
Now, the common factors can be found like this.
769:769
946:2x 11x 43
916:2x 2x 229
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 475119089192/(1x2)
LCM = 475119089192/2
LCM = 237559544596
Thus, we can understand that the LCM of 769,946,916,713 is 237559544596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 946, 916, 713?
Answer: LCM of 769, 946, 916, 713 is 237559544596.
2. How to calculate the LCM of 769, 946, 916, 713?
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, 946, 916, 713.
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}.