Least Common Multiple of 760 and 764

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 764 the smallest integer that is 145160 that is divisible by both numbers.

Least Common Multiple (LCM) of 760 and 764 is 145160.

LCM(760,764) = 145160

LCM of 760 and 764

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

LCM of:
and

Least Common Multiple of 760 and 764

LCM of 760 and 764 is 145160

Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 764. First we will calculate the prime factors of 760 and 764.

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 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 760 and 764.

LCM(760,764) = 23×51×191×1911
LCM(760,764) = 145160

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 764

List of positive integer factors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Least Common Multiple of 760 and 764 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 764, than apply into the LCM equation.

GCF(760,764) = 4
LCM(760,764) = ( 760 × 764) / 4
LCM(760,764) = 580640 / 4
LCM(760,764) = 145160

Properties of LCM 760 and 764

(i) The LCM of 764 and 760 is associative

LCM of 760 and 764 = LCM of 764 and 760

Related Least Common Multiples of 760

Related Least Common Multiples of 764

Frequently Asked Questions on LCM of 760 and 764

1. What is the LCM of 760 and 764?

Answer: LCM of 760 and 764 is 145160.

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 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

4. How to Find the LCM of 760 and 764?

Answer:

Least Common Multiple of 760 and 764 = 145160

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 764

764 = 2 x 2 x 191

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

LCM = 145160 = 2 x 2 x 2 x 5 x 19 x 191

Step 4: Therefore, the least common multiple of 760 and 764 is 145160.