Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 777 and 778 the smallest integer that is 604506 that is divisible by both numbers.
Least Common Multiple (LCM) of 777 and 778 is 604506.
LCM(777,778) = 604506
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 777 and 778. First we will calculate the prime factors of 777 and 778.
Prime Factorization of 777
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 777 are 3, 7,37. Prime factorization of 777 in exponential form is:
777 = 31×71×371
Prime Factorization of 778
2 | 778 |
389 | 389 |
1 |
Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:
778 = 21×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 777 and 778.
LCM(777,778) = 21×31×71×371×3891
LCM(777,778) = 604506
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1, 2, 389, 778
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 777 and 778, than apply into the LCM equation.
GCF(777,778) = 1
LCM(777,778) = ( 777 × 778) / 1
LCM(777,778) = 604506 / 1
LCM(777,778) = 604506
(i) The LCM of 778 and 777 is associative
LCM of 777 and 778 = LCM of 778 and 777
1. What is the LCM of 777 and 778?
Answer: LCM of 777 and 778 is 604506.
2. What are the Factors of 777?
Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.
3. What are the Factors of 778?
Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.
4. How to Find the LCM of 777 and 778?
Answer:
Least Common Multiple of 777 and 778 = 604506
Step 1: Find the prime factorization of 777
777 = 3 x 7 x 37
Step 2: Find the prime factorization of 778
778 = 2 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 604506 = 2 x 3 x 7 x 37 x 389
Step 4: Therefore, the least common multiple of 777 and 778 is 604506.