Least Common Multiple of 768 and 776

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 776 the smallest integer that is 74496 that is divisible by both numbers.

Least Common Multiple (LCM) of 768 and 776 is 74496.

LCM(768,776) = 74496

LCM of 768 and 776

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

LCM of:
and

Least Common Multiple of 768 and 776

LCM of 768 and 776 is 74496

Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 776. First we will calculate the prime factors of 768 and 776.

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 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

Now multiplying the highest exponent prime factors to calculate the LCM of 768 and 776.

LCM(768,776) = 28×31×971
LCM(768,776) = 74496

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 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Least Common Multiple of 768 and 776 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 776, than apply into the LCM equation.

GCF(768,776) = 8
LCM(768,776) = ( 768 × 776) / 8
LCM(768,776) = 595968 / 8
LCM(768,776) = 74496

Properties of LCM 768 and 776

(i) The LCM of 776 and 768 is associative

LCM of 768 and 776 = LCM of 776 and 768

Related Least Common Multiples of 768

Related Least Common Multiples of 776

Frequently Asked Questions on LCM of 768 and 776

1. What is the LCM of 768 and 776?

Answer: LCM of 768 and 776 is 74496.

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 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

4. How to Find the LCM of 768 and 776?

Answer:

Least Common Multiple of 768 and 776 = 74496

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 776

776 = 2 x 2 x 2 x 97

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

LCM = 74496 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97

Step 4: Therefore, the least common multiple of 768 and 776 is 74496.