Least Common Multiple of 674 and 680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 674 and 680 the smallest integer that is 229160 that is divisible by both numbers.

Least Common Multiple (LCM) of 674 and 680 is 229160.

LCM(674,680) = 229160

LCM of 674 and 680

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

LCM of:
and

Least Common Multiple of 674 and 680

LCM of 674 and 680 is 229160

Least common multiple can be found by multiplying the highest exponent prime factors of 674 and 680. First we will calculate the prime factors of 674 and 680.

Prime Factorization of 674


2 674
337 337
1

Prime factors of 674 are 2,337. Prime factorization of 674 in exponential form is:

674 = 21×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 674 and 680.

LCM(674,680) = 23×51×171×3371
LCM(674,680) = 229160

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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

Least Common Multiple of 674 and 680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 674 and 680, than apply into the LCM equation.

GCF(674,680) = 2
LCM(674,680) = ( 674 × 680) / 2
LCM(674,680) = 458320 / 2
LCM(674,680) = 229160

Properties of LCM 674 and 680

(i) The LCM of 680 and 674 is associative

LCM of 674 and 680 = LCM of 680 and 674

Related Least Common Multiples of 674

Related Least Common Multiples of 680

Frequently Asked Questions on LCM of 674 and 680

1. What is the LCM of 674 and 680?

Answer: LCM of 674 and 680 is 229160.

2. What are the Factors of 674?

Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.

3. 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.

4. How to Find the LCM of 674 and 680?

Answer:

Least Common Multiple of 674 and 680 = 229160

Step 1: Find the prime factorization of 674

674 = 2 x 337

Step 2: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

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

LCM = 229160 = 2 x 2 x 2 x 5 x 17 x 337

Step 4: Therefore, the least common multiple of 674 and 680 is 229160.