Least Common Multiple of 755 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 755 and 760 the smallest integer that is 114760 that is divisible by both numbers.

Least Common Multiple (LCM) of 755 and 760 is 114760.

LCM(755,760) = 114760

LCM of 755 and 760

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

LCM of:
and

Least Common Multiple of 755 and 760

LCM of 755 and 760 is 114760

Least common multiple can be found by multiplying the highest exponent prime factors of 755 and 760. First we will calculate the prime factors of 755 and 760.

Prime Factorization of 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

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 755 and 760.

LCM(755,760) = 23×51×191×1511
LCM(755,760) = 114760

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1, 5, 151, 755

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 755 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 755 and 760, than apply into the LCM equation.

GCF(755,760) = 5
LCM(755,760) = ( 755 × 760) / 5
LCM(755,760) = 573800 / 5
LCM(755,760) = 114760

Properties of LCM 755 and 760

(i) The LCM of 760 and 755 is associative

LCM of 755 and 760 = LCM of 760 and 755

Related Least Common Multiples of 755

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 755 and 760

1. What is the LCM of 755 and 760?

Answer: LCM of 755 and 760 is 114760.

2. What are the Factors of 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

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 755 and 760?

Answer:

Least Common Multiple of 755 and 760 = 114760

Step 1: Find the prime factorization of 755

755 = 5 x 151

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 = 114760 = 2 x 2 x 2 x 5 x 19 x 151

Step 4: Therefore, the least common multiple of 755 and 760 is 114760.