Least Common Multiple of 683 and 690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 683 and 690 the smallest integer that is 471270 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 690 is 471270.

LCM(683,690) = 471270

LCM of 683 and 690

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

LCM of:
and

Least Common Multiple of 683 and 690

LCM of 683 and 690 is 471270

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 690. First we will calculate the prime factors of 683 and 690.

Prime Factorization of 683


683 683
1

Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:

683 = 6831

Prime Factorization of 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2, 3, 5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 683 and 690.

LCM(683,690) = 21×31×51×231×6831
LCM(683,690) = 471270

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1, 683

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Least Common Multiple of 683 and 690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 683 and 690, than apply into the LCM equation.

GCF(683,690) = 1
LCM(683,690) = ( 683 × 690) / 1
LCM(683,690) = 471270 / 1
LCM(683,690) = 471270

Properties of LCM 683 and 690

(i) The LCM of 690 and 683 is associative

LCM of 683 and 690 = LCM of 690 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 690

Frequently Asked Questions on LCM of 683 and 690

1. What is the LCM of 683 and 690?

Answer: LCM of 683 and 690 is 471270.

2. What are the Factors of 683?

Answer: Factors of 683 are 1, 683. There are 2 integers that are factors of 683. The greatest factor of 683 is 683.

3. What are the Factors of 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

4. How to Find the LCM of 683 and 690?

Answer:

Least Common Multiple of 683 and 690 = 471270

Step 1: Find the prime factorization of 683

683 = 683

Step 2: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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

LCM = 471270 = 2 x 3 x 5 x 23 x 683

Step 4: Therefore, the least common multiple of 683 and 690 is 471270.