Least Common Multiple of 760 and 767

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 767 the smallest integer that is 582920 that is divisible by both numbers.

Least Common Multiple (LCM) of 760 and 767 is 582920.

LCM(760,767) = 582920

LCM of 760 and 767

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

LCM of:
and

Least Common Multiple of 760 and 767

LCM of 760 and 767 is 582920

Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 767. First we will calculate the prime factors of 760 and 767.

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 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 760 and 767.

LCM(760,767) = 23×51×131×191×591
LCM(760,767) = 582920

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 767

List of positive integer factors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Least Common Multiple of 760 and 767 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 767, than apply into the LCM equation.

GCF(760,767) = 1
LCM(760,767) = ( 760 × 767) / 1
LCM(760,767) = 582920 / 1
LCM(760,767) = 582920

Properties of LCM 760 and 767

(i) The LCM of 767 and 760 is associative

LCM of 760 and 767 = LCM of 767 and 760

Related Least Common Multiples of 760

Related Least Common Multiples of 767

Frequently Asked Questions on LCM of 760 and 767

1. What is the LCM of 760 and 767?

Answer: LCM of 760 and 767 is 582920.

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 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

4. How to Find the LCM of 760 and 767?

Answer:

Least Common Multiple of 760 and 767 = 582920

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 767

767 = 13 x 59

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

LCM = 582920 = 2 x 2 x 2 x 5 x 13 x 19 x 59

Step 4: Therefore, the least common multiple of 760 and 767 is 582920.