LCM of 773, 905, 905, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 905, 905, 965 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 773, 905, 905, 965. So, keep reading to learn more.
Given numbers are 773,905,905,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,905,905,965 is 135016045.
Find LCM of 773,905,905,965 with Prime Factorization
| 5 | 773, 905, 905, 965 |
| 181 | 773, 181, 181, 193 |
| 773, 1, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
5 x 181 x 773 x 1 x 1 x 193 = 135016045
Therefore, the lowest common multiple of 773,905,905,965 is 135016045.
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.
773 x 905 x 905 x 965 = 610947603625
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.
773 : 1, 773
905 : 1, 5, 181, 905
905 : 1, 5, 181, 905
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,905,905,965, is 1.
Now, the common factors can be found like this.
773:773
905:5x 181
905:5x 181
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 181 = 4525
Therefore, the value for common factors is 4525.
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 = 610947603625/(1x4525)
LCM = 610947603625/4525
LCM = 135016045
Thus, we can understand that the LCM of 773,905,905,965 is 135016045.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 905, 905, 965
1. What is the LCM of 773, 905, 905, 965?
Answer: LCM of 773, 905, 905, 965 is 135016045.
2. How to calculate the LCM of 773, 905, 905, 965?
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 773, 905, 905, 965.
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}.