Least Common Multiple of 758 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 758 and 760 the smallest integer that is 288040 that is divisible by both numbers.

Least Common Multiple (LCM) of 758 and 760 is 288040.

LCM(758,760) = 288040

LCM of 758 and 760

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

LCM of:
and

Least Common Multiple of 758 and 760

LCM of 758 and 760 is 288040

Least common multiple can be found by multiplying the highest exponent prime factors of 758 and 760. First we will calculate the prime factors of 758 and 760.

Prime Factorization of 758


2 758
379 379
1

Prime factors of 758 are 2,379. Prime factorization of 758 in exponential form is:

758 = 21×3791

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 758 and 760.

LCM(758,760) = 23×51×191×3791
LCM(758,760) = 288040

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 758 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 758 and 760, than apply into the LCM equation.

GCF(758,760) = 2
LCM(758,760) = ( 758 × 760) / 2
LCM(758,760) = 576080 / 2
LCM(758,760) = 288040

Properties of LCM 758 and 760

(i) The LCM of 760 and 758 is associative

LCM of 758 and 760 = LCM of 760 and 758

Related Least Common Multiples of 758

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 758 and 760

1. What is the LCM of 758 and 760?

Answer: LCM of 758 and 760 is 288040.

2. What are the Factors of 758?

Answer: Factors of 758 are 1, 2, 379, 758. There are 4 integers that are factors of 758. The greatest factor of 758 is 758.

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 758 and 760?

Answer:

Least Common Multiple of 758 and 760 = 288040

Step 1: Find the prime factorization of 758

758 = 2 x 379

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 = 288040 = 2 x 2 x 2 x 5 x 19 x 379

Step 4: Therefore, the least common multiple of 758 and 760 is 288040.