Least Common Multiple of 749 and 750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 749 and 750 the smallest integer that is 561750 that is divisible by both numbers.

Least Common Multiple (LCM) of 749 and 750 is 561750.

LCM(749,750) = 561750

LCM of 749 and 750

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

LCM of:
and

Least Common Multiple of 749 and 750

LCM of 749 and 750 is 561750

Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 750. First we will calculate the prime factors of 749 and 750.

Prime Factorization of 749


7 749
107 107
1

Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:

749 = 71×1071

Prime Factorization of 750


2 750
3 375
5 125
5 25
5 5
1

Prime factors of 750 are 2, 3,5. Prime factorization of 750 in exponential form is:

750 = 21×31×53

Now multiplying the highest exponent prime factors to calculate the LCM of 749 and 750.

LCM(749,750) = 21×31×53×71×1071
LCM(749,750) = 561750

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Least Common Multiple of 749 and 750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 749 and 750, than apply into the LCM equation.

GCF(749,750) = 1
LCM(749,750) = ( 749 × 750) / 1
LCM(749,750) = 561750 / 1
LCM(749,750) = 561750

Properties of LCM 749 and 750

(i) The LCM of 750 and 749 is associative

LCM of 749 and 750 = LCM of 750 and 749

Related Least Common Multiples of 749

Related Least Common Multiples of 750

Frequently Asked Questions on LCM of 749 and 750

1. What is the LCM of 749 and 750?

Answer: LCM of 749 and 750 is 561750.

2. What are the Factors of 749?

Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.

3. What are the Factors of 750?

Answer: Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. There are 16 integers that are factors of 750. The greatest factor of 750 is 750.

4. How to Find the LCM of 749 and 750?

Answer:

Least Common Multiple of 749 and 750 = 561750

Step 1: Find the prime factorization of 749

749 = 7 x 107

Step 2: Find the prime factorization of 750

750 = 2 x 3 x 5 x 5 x 5

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

LCM = 561750 = 2 x 3 x 5 x 5 x 5 x 7 x 107

Step 4: Therefore, the least common multiple of 749 and 750 is 561750.