Least Common Multiple of 690 and 698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 690 and 698 the smallest integer that is 240810 that is divisible by both numbers.

Least Common Multiple (LCM) of 690 and 698 is 240810.

LCM(690,698) = 240810

LCM of 690 and 698

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

LCM of:
and

Least Common Multiple of 690 and 698

LCM of 690 and 698 is 240810

Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 698. First we will calculate the prime factors of 690 and 698.

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

Prime Factorization of 698


2 698
349 349
1

Prime factors of 698 are 2,349. Prime factorization of 698 in exponential form is:

698 = 21×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 690 and 698.

LCM(690,698) = 21×31×51×231×3491
LCM(690,698) = 240810

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

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Least Common Multiple of 690 and 698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 690 and 698, than apply into the LCM equation.

GCF(690,698) = 2
LCM(690,698) = ( 690 × 698) / 2
LCM(690,698) = 481620 / 2
LCM(690,698) = 240810

Properties of LCM 690 and 698

(i) The LCM of 698 and 690 is associative

LCM of 690 and 698 = LCM of 698 and 690

Related Least Common Multiples of 690

Related Least Common Multiples of 698

Frequently Asked Questions on LCM of 690 and 698

1. What is the LCM of 690 and 698?

Answer: LCM of 690 and 698 is 240810.

2. 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.

3. What are the Factors of 698?

Answer: Factors of 698 are 1, 2, 349, 698. There are 4 integers that are factors of 698. The greatest factor of 698 is 698.

4. How to Find the LCM of 690 and 698?

Answer:

Least Common Multiple of 690 and 698 = 240810

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 698

698 = 2 x 349

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

LCM = 240810 = 2 x 3 x 5 x 23 x 349

Step 4: Therefore, the least common multiple of 690 and 698 is 240810.