Least Common Multiple of 756 and 760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 756 and 760 the smallest integer that is 143640 that is divisible by both numbers.

Least Common Multiple (LCM) of 756 and 760 is 143640.

LCM(756,760) = 143640

LCM of 756 and 760

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

LCM of:
and

Least Common Multiple of 756 and 760

LCM of 756 and 760 is 143640

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 760. First we will calculate the prime factors of 756 and 760.

Prime Factorization of 756


2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 756 are 2, 3,7. Prime factorization of 756 in exponential form is:

756 = 22×33×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 760.

LCM(756,760) = 23×33×51×71×191
LCM(756,760) = 143640

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

Least Common Multiple of 756 and 760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 756 and 760, than apply into the LCM equation.

GCF(756,760) = 4
LCM(756,760) = ( 756 × 760) / 4
LCM(756,760) = 574560 / 4
LCM(756,760) = 143640

Properties of LCM 756 and 760

(i) The LCM of 760 and 756 is associative

LCM of 756 and 760 = LCM of 760 and 756

Related Least Common Multiples of 756

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 756 and 760

1. What is the LCM of 756 and 760?

Answer: LCM of 756 and 760 is 143640.

2. What are the Factors of 756?

Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.

3. 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.

4. How to Find the LCM of 756 and 760?

Answer:

Least Common Multiple of 756 and 760 = 143640

Step 1: Find the prime factorization of 756

756 = 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 760

760 = 2 x 2 x 2 x 5 x 19

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

LCM = 143640 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 756 and 760 is 143640.