Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 771 and 774 the smallest integer that is 198918 that is divisible by both numbers.
Least Common Multiple (LCM) of 771 and 774 is 198918.
LCM(771,774) = 198918
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 771 and 774. First we will calculate the prime factors of 771 and 774.
Prime Factorization of 771
3 | 771 |
257 | 257 |
1 |
Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:
771 = 31×2571
Prime Factorization of 774
2 | 774 |
3 | 387 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:
774 = 21×32×431
Now multiplying the highest exponent prime factors to calculate the LCM of 771 and 774.
LCM(771,774) = 21×32×431×2571
LCM(771,774) = 198918
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 771 and 774, than apply into the LCM equation.
GCF(771,774) = 3
LCM(771,774) = ( 771 × 774) / 3
LCM(771,774) = 596754 / 3
LCM(771,774) = 198918
(i) The LCM of 774 and 771 is associative
LCM of 771 and 774 = LCM of 774 and 771
1. What is the LCM of 771 and 774?
Answer: LCM of 771 and 774 is 198918.
2. What are the Factors of 771?
Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.
3. What are the Factors of 774?
Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.
4. How to Find the LCM of 771 and 774?
Answer:
Least Common Multiple of 771 and 774 = 198918
Step 1: Find the prime factorization of 771
771 = 3 x 257
Step 2: Find the prime factorization of 774
774 = 2 x 3 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 198918 = 2 x 3 x 3 x 43 x 257
Step 4: Therefore, the least common multiple of 771 and 774 is 198918.