Least Common Multiple of 678 and 685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 678 and 685 the smallest integer that is 464430 that is divisible by both numbers.

Least Common Multiple (LCM) of 678 and 685 is 464430.

LCM(678,685) = 464430

LCM of 678 and 685

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

LCM of:
and

Least Common Multiple of 678 and 685

LCM of 678 and 685 is 464430

Least common multiple can be found by multiplying the highest exponent prime factors of 678 and 685. First we will calculate the prime factors of 678 and 685.

Prime Factorization of 678


2 678
3 339
113 113
1

Prime factors of 678 are 2, 3,113. Prime factorization of 678 in exponential form is:

678 = 21×31×1131

Prime Factorization of 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 678 and 685.

LCM(678,685) = 21×31×51×1131×1371
LCM(678,685) = 464430

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Least Common Multiple of 678 and 685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 678 and 685, than apply into the LCM equation.

GCF(678,685) = 1
LCM(678,685) = ( 678 × 685) / 1
LCM(678,685) = 464430 / 1
LCM(678,685) = 464430

Properties of LCM 678 and 685

(i) The LCM of 685 and 678 is associative

LCM of 678 and 685 = LCM of 685 and 678

Related Least Common Multiples of 678

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 678 and 685

1. What is the LCM of 678 and 685?

Answer: LCM of 678 and 685 is 464430.

2. What are the Factors of 678?

Answer: Factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678. There are 8 integers that are factors of 678. The greatest factor of 678 is 678.

3. What are the Factors of 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the LCM of 678 and 685?

Answer:

Least Common Multiple of 678 and 685 = 464430

Step 1: Find the prime factorization of 678

678 = 2 x 3 x 113

Step 2: Find the prime factorization of 685

685 = 5 x 137

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

LCM = 464430 = 2 x 3 x 5 x 113 x 137

Step 4: Therefore, the least common multiple of 678 and 685 is 464430.