Least Common Multiple of 680 and 687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 680 and 687 the smallest integer that is 467160 that is divisible by both numbers.

Least Common Multiple (LCM) of 680 and 687 is 467160.

LCM(680,687) = 467160

LCM of 680 and 687

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

LCM of:
and

Least Common Multiple of 680 and 687

LCM of 680 and 687 is 467160

Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 687. First we will calculate the prime factors of 680 and 687.

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 687.

LCM(680,687) = 23×31×51×171×2291
LCM(680,687) = 467160

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Least Common Multiple of 680 and 687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 687, than apply into the LCM equation.

GCF(680,687) = 1
LCM(680,687) = ( 680 × 687) / 1
LCM(680,687) = 467160 / 1
LCM(680,687) = 467160

Properties of LCM 680 and 687

(i) The LCM of 687 and 680 is associative

LCM of 680 and 687 = LCM of 687 and 680

Related Least Common Multiples of 680

Related Least Common Multiples of 687

Frequently Asked Questions on LCM of 680 and 687

1. What is the LCM of 680 and 687?

Answer: LCM of 680 and 687 is 467160.

2. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

3. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

4. How to Find the LCM of 680 and 687?

Answer:

Least Common Multiple of 680 and 687 = 467160

Step 1: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 687

687 = 3 x 229

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

LCM = 467160 = 2 x 2 x 2 x 3 x 5 x 17 x 229

Step 4: Therefore, the least common multiple of 680 and 687 is 467160.