Least Common Multiple of 754 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 754 and 760 the smallest integer that is 286520 that is divisible by both numbers.

Least Common Multiple (LCM) of 754 and 760 is 286520.

LCM(754,760) = 286520

LCM of 754 and 760

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

LCM of:
and

Least Common Multiple of 754 and 760

LCM of 754 and 760 is 286520

Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 760. First we will calculate the prime factors of 754 and 760.

Prime Factorization of 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

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 754 and 760.

LCM(754,760) = 23×51×131×191×291
LCM(754,760) = 286520

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 754 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 754 and 760, than apply into the LCM equation.

GCF(754,760) = 2
LCM(754,760) = ( 754 × 760) / 2
LCM(754,760) = 573040 / 2
LCM(754,760) = 286520

Properties of LCM 754 and 760

(i) The LCM of 760 and 754 is associative

LCM of 754 and 760 = LCM of 760 and 754

Related Least Common Multiples of 754

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 754 and 760

1. What is the LCM of 754 and 760?

Answer: LCM of 754 and 760 is 286520.

2. What are the Factors of 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

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 754 and 760?

Answer:

Least Common Multiple of 754 and 760 = 286520

Step 1: Find the prime factorization of 754

754 = 2 x 13 x 29

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 = 286520 = 2 x 2 x 2 x 5 x 13 x 19 x 29

Step 4: Therefore, the least common multiple of 754 and 760 is 286520.