Least Common Multiple of 394 and 400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 394 and 400 the smallest integer that is 78800 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 400 is 78800.

LCM(394,400) = 78800

LCM of 394 and 400

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

LCM of:
and

Least Common Multiple of 394 and 400

LCM of 394 and 400 is 78800

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 400. First we will calculate the prime factors of 394 and 400.

Prime Factorization of 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Prime Factorization of 400


2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 400 are 2,5. Prime factorization of 400 in exponential form is:

400 = 24×52

Now multiplying the highest exponent prime factors to calculate the LCM of 394 and 400.

LCM(394,400) = 24×52×1971
LCM(394,400) = 78800

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Least Common Multiple of 394 and 400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 394 and 400, than apply into the LCM equation.

GCF(394,400) = 2
LCM(394,400) = ( 394 × 400) / 2
LCM(394,400) = 157600 / 2
LCM(394,400) = 78800

Properties of LCM 394 and 400

(i) The LCM of 400 and 394 is associative

LCM of 394 and 400 = LCM of 400 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 400

Frequently Asked Questions on LCM of 394 and 400

1. What is the LCM of 394 and 400?

Answer: LCM of 394 and 400 is 78800.

2. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

3. What are the Factors of 400?

Answer: Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. There are 15 integers that are factors of 400. The greatest factor of 400 is 400.

4. How to Find the LCM of 394 and 400?

Answer:

Least Common Multiple of 394 and 400 = 78800

Step 1: Find the prime factorization of 394

394 = 2 x 197

Step 2: Find the prime factorization of 400

400 = 2 x 2 x 2 x 2 x 5 x 5

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

LCM = 78800 = 2 x 2 x 2 x 2 x 5 x 5 x 197

Step 4: Therefore, the least common multiple of 394 and 400 is 78800.