Least Common Multiple of 768 and 770

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 770 the smallest integer that is 295680 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 770 is 295680.

LCM(768,770) = 295680

LCM of 768 and 770

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

LCM of:
and

Least Common Multiple of 768 and 770

LCM of 768 and 770 is 295680

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 770. First we will calculate the prime factors of 768 and 770.

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 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2, 5, 7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 768 and 770.

LCM(768,770) = 28×31×51×71×111
LCM(768,770) = 295680

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 770

List of positive integer factors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Least Common Multiple of 768 and 770 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 770, than apply into the LCM equation.

GCF(768,770) = 2
LCM(768,770) = ( 768 × 770) / 2
LCM(768,770) = 591360 / 2
LCM(768,770) = 295680

Properties of LCM 768 and 770

(i) The LCM of 770 and 768 is associative

LCM of 768 and 770 = LCM of 770 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 768 and 770

1. What is the LCM of 768 and 770?

Answer: LCM of 768 and 770 is 295680.

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 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

4. How to Find the LCM of 768 and 770?

Answer:

Least Common Multiple of 768 and 770 = 295680

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 770

770 = 2 x 5 x 7 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 295680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 768 and 770 is 295680.