Least Common Multiple of 753 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 753 and 760 the smallest integer that is 572280 that is divisible by both numbers.

Least Common Multiple (LCM) of 753 and 760 is 572280.

LCM(753,760) = 572280

LCM of 753 and 760

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

LCM of:
and

Least Common Multiple of 753 and 760

LCM of 753 and 760 is 572280

Least common multiple can be found by multiplying the highest exponent prime factors of 753 and 760. First we will calculate the prime factors of 753 and 760.

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

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 753 and 760.

LCM(753,760) = 23×31×51×191×2511
LCM(753,760) = 572280

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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 753 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 753 and 760, than apply into the LCM equation.

GCF(753,760) = 1
LCM(753,760) = ( 753 × 760) / 1
LCM(753,760) = 572280 / 1
LCM(753,760) = 572280

Properties of LCM 753 and 760

(i) The LCM of 760 and 753 is associative

LCM of 753 and 760 = LCM of 760 and 753

Related Least Common Multiples of 753

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 753 and 760

1. What is the LCM of 753 and 760?

Answer: LCM of 753 and 760 is 572280.

2. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

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 753 and 760?

Answer:

Least Common Multiple of 753 and 760 = 572280

Step 1: Find the prime factorization of 753

753 = 3 x 251

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 = 572280 = 2 x 2 x 2 x 3 x 5 x 19 x 251

Step 4: Therefore, the least common multiple of 753 and 760 is 572280.