Least Common Multiple of 476 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 476 and 478 the smallest integer that is 113764 that is divisible by both numbers.

Least Common Multiple (LCM) of 476 and 478 is 113764.

LCM(476,478) = 113764

LCM of 476 and 478

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

LCM of:
and

Least Common Multiple of 476 and 478

LCM of 476 and 478 is 113764

Least common multiple can be found by multiplying the highest exponent prime factors of 476 and 478. First we will calculate the prime factors of 476 and 478.

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2, 7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

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 476 and 478.

LCM(476,478) = 22×71×171×2391
LCM(476,478) = 113764

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Factors of 478

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

1, 2, 239, 478

Least Common Multiple of 476 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 476 and 478, than apply into the LCM equation.

GCF(476,478) = 2
LCM(476,478) = ( 476 × 478) / 2
LCM(476,478) = 227528 / 2
LCM(476,478) = 113764

Properties of LCM 476 and 478

(i) The LCM of 478 and 476 is associative

LCM of 476 and 478 = LCM of 478 and 476

Related Least Common Multiples of 476

Related Least Common Multiples of 478

Frequently Asked Questions on LCM of 476 and 478

1. What is the LCM of 476 and 478?

Answer: LCM of 476 and 478 is 113764.

2. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

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 476 and 478?

Answer:

Least Common Multiple of 476 and 478 = 113764

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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 = 113764 = 2 x 2 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 476 and 478 is 113764.