Least Common Multiple of 474 and 478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 474 and 478 the smallest integer that is 113286 that is divisible by both numbers.

Least Common Multiple (LCM) of 474 and 478 is 113286.

LCM(474,478) = 113286

LCM of 474 and 478

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

LCM of:
and

Least Common Multiple of 474 and 478

LCM of 474 and 478 is 113286

Least common multiple can be found by multiplying the highest exponent prime factors of 474 and 478. First we will calculate the prime factors of 474 and 478.

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

Prime Factorization of 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 474 and 478.

LCM(474,478) = 21×31×791×2391
LCM(474,478) = 113286

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Least Common Multiple of 474 and 478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 474 and 478, than apply into the LCM equation.

GCF(474,478) = 2
LCM(474,478) = ( 474 × 478) / 2
LCM(474,478) = 226572 / 2
LCM(474,478) = 113286

Properties of LCM 474 and 478

(i) The LCM of 478 and 474 is associative

LCM of 474 and 478 = LCM of 478 and 474

Related Least Common Multiples of 474

Related Least Common Multiples of 478

Frequently Asked Questions on LCM of 474 and 478

1. What is the LCM of 474 and 478?

Answer: LCM of 474 and 478 is 113286.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

3. What are the Factors of 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

4. How to Find the LCM of 474 and 478?

Answer:

Least Common Multiple of 474 and 478 = 113286

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 478

478 = 2 x 239

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

LCM = 113286 = 2 x 3 x 79 x 239

Step 4: Therefore, the least common multiple of 474 and 478 is 113286.