Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 776 and 779 the smallest integer that is 604504 that is divisible by both numbers.
Least Common Multiple (LCM) of 776 and 779 is 604504.
LCM(776,779) = 604504
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 779. First we will calculate the prime factors of 776 and 779.
Prime Factorization of 776
2 | 776 |
2 | 388 |
2 | 194 |
97 | 97 |
1 |
Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:
776 = 23×971
Prime Factorization of 779
19 | 779 |
41 | 41 |
1 |
Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:
779 = 191×411
Now multiplying the highest exponent prime factors to calculate the LCM of 776 and 779.
LCM(776,779) = 23×191×411×971
LCM(776,779) = 604504
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1, 19, 41, 779
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 776 and 779, than apply into the LCM equation.
GCF(776,779) = 1
LCM(776,779) = ( 776 × 779) / 1
LCM(776,779) = 604504 / 1
LCM(776,779) = 604504
(i) The LCM of 779 and 776 is associative
LCM of 776 and 779 = LCM of 779 and 776
1. What is the LCM of 776 and 779?
Answer: LCM of 776 and 779 is 604504.
2. What are the Factors of 776?
Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.
3. What are the Factors of 779?
Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.
4. How to Find the LCM of 776 and 779?
Answer:
Least Common Multiple of 776 and 779 = 604504
Step 1: Find the prime factorization of 776
776 = 2 x 2 x 2 x 97
Step 2: Find the prime factorization of 779
779 = 19 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 604504 = 2 x 2 x 2 x 19 x 41 x 97
Step 4: Therefore, the least common multiple of 776 and 779 is 604504.