Least Common Multiple of 742 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 742 and 750 the smallest integer that is 278250 that is divisible by both numbers.

Least Common Multiple (LCM) of 742 and 750 is 278250.

LCM(742,750) = 278250

LCM of 742 and 750

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

LCM of:
and

Least Common Multiple of 742 and 750

LCM of 742 and 750 is 278250

Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 750. First we will calculate the prime factors of 742 and 750.

Prime Factorization of 742


2 742
7 371
53 53
1

Prime factors of 742 are 2, 7,53. Prime factorization of 742 in exponential form is:

742 = 21×71×531

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 742 and 750.

LCM(742,750) = 21×31×53×71×531
LCM(742,750) = 278250

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 742 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 742 and 750, than apply into the LCM equation.

GCF(742,750) = 2
LCM(742,750) = ( 742 × 750) / 2
LCM(742,750) = 556500 / 2
LCM(742,750) = 278250

Properties of LCM 742 and 750

(i) The LCM of 750 and 742 is associative

LCM of 742 and 750 = LCM of 750 and 742

Related Least Common Multiples of 742

Related Least Common Multiples of 750

Frequently Asked Questions on LCM of 742 and 750

1. What is the LCM of 742 and 750?

Answer: LCM of 742 and 750 is 278250.

2. What are the Factors of 742?

Answer: Factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. There are 8 integers that are factors of 742. The greatest factor of 742 is 742.

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 742 and 750?

Answer:

Least Common Multiple of 742 and 750 = 278250

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

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 = 278250 = 2 x 3 x 5 x 5 x 5 x 7 x 53

Step 4: Therefore, the least common multiple of 742 and 750 is 278250.