Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 775 and 778 the smallest integer that is 602950 that is divisible by both numbers.
Least Common Multiple (LCM) of 775 and 778 is 602950.
LCM(775,778) = 602950
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 775 and 778. First we will calculate the prime factors of 775 and 778.
Prime Factorization of 775
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:
775 = 52×311
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 775 and 778.
LCM(775,778) = 21×52×311×3891
LCM(775,778) = 602950
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
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 775 and 778, than apply into the LCM equation.
GCF(775,778) = 1
LCM(775,778) = ( 775 × 778) / 1
LCM(775,778) = 602950 / 1
LCM(775,778) = 602950
(i) The LCM of 778 and 775 is associative
LCM of 775 and 778 = LCM of 778 and 775
1. What is the LCM of 775 and 778?
Answer: LCM of 775 and 778 is 602950.
2. What are the Factors of 775?
Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.
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 775 and 778?
Answer:
Least Common Multiple of 775 and 778 = 602950
Step 1: Find the prime factorization of 775
775 = 5 x 5 x 31
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 = 602950 = 2 x 5 x 5 x 31 x 389
Step 4: Therefore, the least common multiple of 775 and 778 is 602950.