Least Common Multiple of 760 and 761

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 761 the smallest integer that is 578360 that is divisible by both numbers.

Least Common Multiple (LCM) of 760 and 761 is 578360.

LCM(760,761) = 578360

LCM of 760 and 761

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

LCM of:
and

Least Common Multiple of 760 and 761

LCM of 760 and 761 is 578360

Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 761. First we will calculate the prime factors of 760 and 761.

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 761


761 761
1

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 760 and 761.

LCM(760,761) = 23×51×191×7611
LCM(760,761) = 578360

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 761

List of positive integer factors of 761 that divides 761 without a remainder.

1, 761

Least Common Multiple of 760 and 761 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 761, than apply into the LCM equation.

GCF(760,761) = 1
LCM(760,761) = ( 760 × 761) / 1
LCM(760,761) = 578360 / 1
LCM(760,761) = 578360

Properties of LCM 760 and 761

(i) The LCM of 761 and 760 is associative

LCM of 760 and 761 = LCM of 761 and 760

Related Least Common Multiples of 760

Related Least Common Multiples of 761

Frequently Asked Questions on LCM of 760 and 761

1. What is the LCM of 760 and 761?

Answer: LCM of 760 and 761 is 578360.

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 761?

Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.

4. How to Find the LCM of 760 and 761?

Answer:

Least Common Multiple of 760 and 761 = 578360

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 761

761 = 761

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

LCM = 578360 = 2 x 2 x 2 x 5 x 19 x 761

Step 4: Therefore, the least common multiple of 760 and 761 is 578360.