Least Common Multiple of 768 and 771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 768 and 771 the smallest integer that is 197376 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 771 is 197376.

LCM(768,771) = 197376

LCM of 768 and 771

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 768 and 771

LCM of 768 and 771 is 197376

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 771. First we will calculate the prime factors of 768 and 771.

Prime Factorization of 768


2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 768 are 2,3. Prime factorization of 768 in exponential form is:

768 = 28×31

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 768 and 771.

LCM(768,771) = 28×31×2571
LCM(768,771) = 197376

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Least Common Multiple of 768 and 771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 768 and 771, than apply into the LCM equation.

GCF(768,771) = 3
LCM(768,771) = ( 768 × 771) / 3
LCM(768,771) = 592128 / 3
LCM(768,771) = 197376

Properties of LCM 768 and 771

(i) The LCM of 771 and 768 is associative

LCM of 768 and 771 = LCM of 771 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 771

Frequently Asked Questions on LCM of 768 and 771

1. What is the LCM of 768 and 771?

Answer: LCM of 768 and 771 is 197376.

2. What are the Factors of 768?

Answer: Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. There are 18 integers that are factors of 768. The greatest factor of 768 is 768.

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 768 and 771?

Answer:

Least Common Multiple of 768 and 771 = 197376

Step 1: Find the prime factorization of 768

768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 = 197376 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 257

Step 4: Therefore, the least common multiple of 768 and 771 is 197376.