Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 764 and 771 the smallest integer that is 589044 that is divisible by both numbers.
Least Common Multiple (LCM) of 764 and 771 is 589044.
LCM(764,771) = 589044
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 764 and 771. First we will calculate the prime factors of 764 and 771.
Prime Factorization of 764
2 | 764 |
2 | 382 |
191 | 191 |
1 |
Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:
764 = 22×1911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 764 and 771.
LCM(764,771) = 22×31×1911×2571
LCM(764,771) = 589044
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1, 3, 257, 771
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 764 and 771, than apply into the LCM equation.
GCF(764,771) = 1
LCM(764,771) = ( 764 × 771) / 1
LCM(764,771) = 589044 / 1
LCM(764,771) = 589044
(i) The LCM of 771 and 764 is associative
LCM of 764 and 771 = LCM of 771 and 764
1. What is the LCM of 764 and 771?
Answer: LCM of 764 and 771 is 589044.
2. What are the Factors of 764?
Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.
3. 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.
4. How to Find the LCM of 764 and 771?
Answer:
Least Common Multiple of 764 and 771 = 589044
Step 1: Find the prime factorization of 764
764 = 2 x 2 x 191
Step 2: Find the prime factorization of 771
771 = 3 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 589044 = 2 x 2 x 3 x 191 x 257
Step 4: Therefore, the least common multiple of 764 and 771 is 589044.