Least Common Multiple of 759 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 759 and 760 the smallest integer that is 576840 that is divisible by both numbers.

Least Common Multiple (LCM) of 759 and 760 is 576840.

LCM(759,760) = 576840

LCM of 759 and 760

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

LCM of:
and

Least Common Multiple of 759 and 760

LCM of 759 and 760 is 576840

Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 760. First we will calculate the prime factors of 759 and 760.

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3, 11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

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 759 and 760.

LCM(759,760) = 23×31×51×111×191×231
LCM(759,760) = 576840

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

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 759 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 759 and 760, than apply into the LCM equation.

GCF(759,760) = 1
LCM(759,760) = ( 759 × 760) / 1
LCM(759,760) = 576840 / 1
LCM(759,760) = 576840

Properties of LCM 759 and 760

(i) The LCM of 760 and 759 is associative

LCM of 759 and 760 = LCM of 760 and 759

Related Least Common Multiples of 759

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 759 and 760

1. What is the LCM of 759 and 760?

Answer: LCM of 759 and 760 is 576840.

2. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

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 759 and 760?

Answer:

Least Common Multiple of 759 and 760 = 576840

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

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 = 576840 = 2 x 2 x 2 x 3 x 5 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 759 and 760 is 576840.