Least Common Multiple of 761 and 768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 761 and 768 the smallest integer that is 584448 that is divisible by both numbers.

Least Common Multiple (LCM) of 761 and 768 is 584448.

LCM(761,768) = 584448

LCM of 761 and 768

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

LCM of:
and

Least Common Multiple of 761 and 768

LCM of 761 and 768 is 584448

Least common multiple can be found by multiplying the highest exponent prime factors of 761 and 768. First we will calculate the prime factors of 761 and 768.

Prime Factorization of 761


761 761
1

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 7611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 761 and 768.

LCM(761,768) = 28×31×7611
LCM(761,768) = 584448

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1, 761

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

Least Common Multiple of 761 and 768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 761 and 768, than apply into the LCM equation.

GCF(761,768) = 1
LCM(761,768) = ( 761 × 768) / 1
LCM(761,768) = 584448 / 1
LCM(761,768) = 584448

Properties of LCM 761 and 768

(i) The LCM of 768 and 761 is associative

LCM of 761 and 768 = LCM of 768 and 761

Related Least Common Multiples of 761

Related Least Common Multiples of 768

Frequently Asked Questions on LCM of 761 and 768

1. What is the LCM of 761 and 768?

Answer: LCM of 761 and 768 is 584448.

2. What are the Factors of 761?

Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.

3. 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.

4. How to Find the LCM of 761 and 768?

Answer:

Least Common Multiple of 761 and 768 = 584448

Step 1: Find the prime factorization of 761

761 = 761

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 584448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 761

Step 4: Therefore, the least common multiple of 761 and 768 is 584448.