Least Common Multiple of 760 and 765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 760 and 765 the smallest integer that is 116280 that is divisible by both numbers.

Least Common Multiple (LCM) of 760 and 765 is 116280.

LCM(760,765) = 116280

LCM of 760 and 765

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

LCM of:
and

Least Common Multiple of 760 and 765

LCM of 760 and 765 is 116280

Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 765. First we will calculate the prime factors of 760 and 765.

Prime Factorization of 760


2 760
2 380
2 190
5 95
19 19
1

Prime factors of 760 are 2, 5,19. Prime factorization of 760 in exponential form is:

760 = 23×51×191

Prime Factorization of 765


3 765
3 255
5 85
17 17
1

Prime factors of 765 are 3, 5,17. Prime factorization of 765 in exponential form is:

765 = 32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 760 and 765.

LCM(760,765) = 23×32×51×171×191
LCM(760,765) = 116280

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Least Common Multiple of 760 and 765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 760 and 765, than apply into the LCM equation.

GCF(760,765) = 5
LCM(760,765) = ( 760 × 765) / 5
LCM(760,765) = 581400 / 5
LCM(760,765) = 116280

Properties of LCM 760 and 765

(i) The LCM of 765 and 760 is associative

LCM of 760 and 765 = LCM of 765 and 760

Related Least Common Multiples of 760

Related Least Common Multiples of 765

Frequently Asked Questions on LCM of 760 and 765

1. What is the LCM of 760 and 765?

Answer: LCM of 760 and 765 is 116280.

2. What are the Factors of 760?

Answer: Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. There are 16 integers that are factors of 760. The greatest factor of 760 is 760.

3. What are the Factors of 765?

Answer: Factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. There are 12 integers that are factors of 765. The greatest factor of 765 is 765.

4. How to Find the LCM of 760 and 765?

Answer:

Least Common Multiple of 760 and 765 = 116280

Step 1: Find the prime factorization of 760

760 = 2 x 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

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

LCM = 116280 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 19

Step 4: Therefore, the least common multiple of 760 and 765 is 116280.