Find the LCM of 723, 397, 769, 176, 769 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 723, 397, 769, 176, 769. So, keep reading to learn more.
Given numbers are 723,397,769,176,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,397,769,176,769 is 38847923664.
Find LCM of 723,397,769,176,769 with Prime Factorization
769 | 723, 397, 769, 176, 769 |
723, 397, 1, 176, 1 |
Multiply the prime numbers at the bottom and the left side.
769 x 723 x 397 x 1 x 176 x 1 = 38847923664
Therefore, the lowest common multiple of 723,397,769,176,769 is 38847923664.
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.
723 x 397 x 769 x 176 x 769 = 29874053297616
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.
723 : 1, 3, 241, 723
397 : 1, 397
769 : 1, 769
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,397,769,176,769, is 1.
Now, the common factors can be found like this.
723:3x 241
397:397
769:769
176:2x 2x 2x 2x 11
769:769
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
769 = 769
Therefore, the value for common factors is 769.
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 = 29874053297616/(1x769)
LCM = 29874053297616/769
LCM = 38847923664
Thus, we can understand that the LCM of 723,397,769,176,769 is 38847923664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 397, 769, 176, 769?
Answer: LCM of 723, 397, 769, 176, 769 is 38847923664.
2. How to calculate the LCM of 723, 397, 769, 176, 769?
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 723, 397, 769, 176, 769.
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}.