Least Common Multiple of 674 and 678

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 678 the smallest integer that is 228486 that is divisible by both numbers.

Least Common Multiple (LCM) of 674 and 678 is 228486.

LCM(674,678) = 228486

LCM of 674 and 678

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

LCM of:
and

Least Common Multiple of 674 and 678

LCM of 674 and 678 is 228486

Least common multiple can be found by multiplying the highest exponent prime factors of 674 and 678. First we will calculate the prime factors of 674 and 678.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 674 and 678.

LCM(674,678) = 21×31×1131×3371
LCM(674,678) = 228486

Factors of 674

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

1, 2, 337, 674

Factors of 678

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

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

Least Common Multiple of 674 and 678 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 678, than apply into the LCM equation.

GCF(674,678) = 2
LCM(674,678) = ( 674 × 678) / 2
LCM(674,678) = 456972 / 2
LCM(674,678) = 228486

Properties of LCM 674 and 678

(i) The LCM of 678 and 674 is associative

LCM of 674 and 678 = LCM of 678 and 674

Related Least Common Multiples of 674

Related Least Common Multiples of 678

Frequently Asked Questions on LCM of 674 and 678

1. What is the LCM of 674 and 678?

Answer: LCM of 674 and 678 is 228486.

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 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.

4. How to Find the LCM of 674 and 678?

Answer:

Least Common Multiple of 674 and 678 = 228486

Step 1: Find the prime factorization of 674

674 = 2 x 337

Step 2: Find the prime factorization of 678

678 = 2 x 3 x 113

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

LCM = 228486 = 2 x 3 x 113 x 337

Step 4: Therefore, the least common multiple of 674 and 678 is 228486.