Least Common Multiple of 470 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 470 and 478 the smallest integer that is 112330 that is divisible by both numbers.

Least Common Multiple (LCM) of 470 and 478 is 112330.

LCM(470,478) = 112330

LCM of 470 and 478

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

LCM of:
and

Least Common Multiple of 470 and 478

LCM of 470 and 478 is 112330

Least common multiple can be found by multiplying the highest exponent prime factors of 470 and 478. First we will calculate the prime factors of 470 and 478.

Prime Factorization of 470


2 470
5 235
47 47
1

Prime factors of 470 are 2, 5,47. Prime factorization of 470 in exponential form is:

470 = 21×51×471

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 470 and 478.

LCM(470,478) = 21×51×471×2391
LCM(470,478) = 112330

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Factors of 478

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

1, 2, 239, 478

Least Common Multiple of 470 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 470 and 478, than apply into the LCM equation.

GCF(470,478) = 2
LCM(470,478) = ( 470 × 478) / 2
LCM(470,478) = 224660 / 2
LCM(470,478) = 112330

Properties of LCM 470 and 478

(i) The LCM of 478 and 470 is associative

LCM of 470 and 478 = LCM of 478 and 470

Related Least Common Multiples of 470

Related Least Common Multiples of 478

Frequently Asked Questions on LCM of 470 and 478

1. What is the LCM of 470 and 478?

Answer: LCM of 470 and 478 is 112330.

2. What are the Factors of 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

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 470 and 478?

Answer:

Least Common Multiple of 470 and 478 = 112330

Step 1: Find the prime factorization of 470

470 = 2 x 5 x 47

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 = 112330 = 2 x 5 x 47 x 239

Step 4: Therefore, the least common multiple of 470 and 478 is 112330.