Least Common Multiple of 760 and 766

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 766 the smallest integer that is 291080 that is divisible by both numbers.

Least Common Multiple (LCM) of 760 and 766 is 291080.

LCM(760,766) = 291080

LCM of 760 and 766

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

LCM of:
and

Least Common Multiple of 760 and 766

LCM of 760 and 766 is 291080

Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 766. First we will calculate the prime factors of 760 and 766.

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 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 760 and 766.

LCM(760,766) = 23×51×191×3831
LCM(760,766) = 291080

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 766

List of positive integer factors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Least Common Multiple of 760 and 766 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 766, than apply into the LCM equation.

GCF(760,766) = 2
LCM(760,766) = ( 760 × 766) / 2
LCM(760,766) = 582160 / 2
LCM(760,766) = 291080

Properties of LCM 760 and 766

(i) The LCM of 766 and 760 is associative

LCM of 760 and 766 = LCM of 766 and 760

Related Least Common Multiples of 760

Related Least Common Multiples of 766

Frequently Asked Questions on LCM of 760 and 766

1. What is the LCM of 760 and 766?

Answer: LCM of 760 and 766 is 291080.

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 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

4. How to Find the LCM of 760 and 766?

Answer:

Least Common Multiple of 760 and 766 = 291080

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 766

766 = 2 x 383

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

LCM = 291080 = 2 x 2 x 2 x 5 x 19 x 383

Step 4: Therefore, the least common multiple of 760 and 766 is 291080.