Least Common Multiple of 746 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 746 and 750 the smallest integer that is 279750 that is divisible by both numbers.

Least Common Multiple (LCM) of 746 and 750 is 279750.

LCM(746,750) = 279750

LCM of 746 and 750

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

LCM of:
and

Least Common Multiple of 746 and 750

LCM of 746 and 750 is 279750

Least common multiple can be found by multiplying the highest exponent prime factors of 746 and 750. First we will calculate the prime factors of 746 and 750.

Prime Factorization of 746


2 746
373 373
1

Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:

746 = 21×3731

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 746 and 750.

LCM(746,750) = 21×31×53×3731
LCM(746,750) = 279750

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1, 2, 373, 746

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 746 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 746 and 750, than apply into the LCM equation.

GCF(746,750) = 2
LCM(746,750) = ( 746 × 750) / 2
LCM(746,750) = 559500 / 2
LCM(746,750) = 279750

Properties of LCM 746 and 750

(i) The LCM of 750 and 746 is associative

LCM of 746 and 750 = LCM of 750 and 746

Related Least Common Multiples of 746

Related Least Common Multiples of 750

Frequently Asked Questions on LCM of 746 and 750

1. What is the LCM of 746 and 750?

Answer: LCM of 746 and 750 is 279750.

2. What are the Factors of 746?

Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.

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 746 and 750?

Answer:

Least Common Multiple of 746 and 750 = 279750

Step 1: Find the prime factorization of 746

746 = 2 x 373

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 = 279750 = 2 x 3 x 5 x 5 x 5 x 373

Step 4: Therefore, the least common multiple of 746 and 750 is 279750.