Least Common Multiple of 740 and 747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 740 and 747 the smallest integer that is 552780 that is divisible by both numbers.

Least Common Multiple (LCM) of 740 and 747 is 552780.

LCM(740,747) = 552780

LCM of 740 and 747

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

LCM of:
and

Least Common Multiple of 740 and 747

LCM of 740 and 747 is 552780

Least common multiple can be found by multiplying the highest exponent prime factors of 740 and 747. First we will calculate the prime factors of 740 and 747.

Prime Factorization of 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2, 5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

Prime Factorization of 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 740 and 747.

LCM(740,747) = 22×32×51×371×831
LCM(740,747) = 552780

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Least Common Multiple of 740 and 747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 740 and 747, than apply into the LCM equation.

GCF(740,747) = 1
LCM(740,747) = ( 740 × 747) / 1
LCM(740,747) = 552780 / 1
LCM(740,747) = 552780

Properties of LCM 740 and 747

(i) The LCM of 747 and 740 is associative

LCM of 740 and 747 = LCM of 747 and 740

Related Least Common Multiples of 740

Related Least Common Multiples of 747

Frequently Asked Questions on LCM of 740 and 747

1. What is the LCM of 740 and 747?

Answer: LCM of 740 and 747 is 552780.

2. What are the Factors of 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

3. What are the Factors of 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

4. How to Find the LCM of 740 and 747?

Answer:

Least Common Multiple of 740 and 747 = 552780

Step 1: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 747

747 = 3 x 3 x 83

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

LCM = 552780 = 2 x 2 x 3 x 3 x 5 x 37 x 83

Step 4: Therefore, the least common multiple of 740 and 747 is 552780.