Least Common Multiple of 478 and 486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 478 and 486 the smallest integer that is 116154 that is divisible by both numbers.

Least Common Multiple (LCM) of 478 and 486 is 116154.

LCM(478,486) = 116154

LCM of 478 and 486

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

LCM of:
and

Least Common Multiple of 478 and 486

LCM of 478 and 486 is 116154

Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 486. First we will calculate the prime factors of 478 and 486.

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

Prime Factorization of 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

Now multiplying the highest exponent prime factors to calculate the LCM of 478 and 486.

LCM(478,486) = 21×35×2391
LCM(478,486) = 116154

Factors of 478

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

1, 2, 239, 478

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Least Common Multiple of 478 and 486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 478 and 486, than apply into the LCM equation.

GCF(478,486) = 2
LCM(478,486) = ( 478 × 486) / 2
LCM(478,486) = 232308 / 2
LCM(478,486) = 116154

Properties of LCM 478 and 486

(i) The LCM of 486 and 478 is associative

LCM of 478 and 486 = LCM of 486 and 478

Related Least Common Multiples of 478

Related Least Common Multiples of 486

Frequently Asked Questions on LCM of 478 and 486

1. What is the LCM of 478 and 486?

Answer: LCM of 478 and 486 is 116154.

2. 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.

3. What are the Factors of 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

4. How to Find the LCM of 478 and 486?

Answer:

Least Common Multiple of 478 and 486 = 116154

Step 1: Find the prime factorization of 478

478 = 2 x 239

Step 2: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 116154 = 2 x 3 x 3 x 3 x 3 x 3 x 239

Step 4: Therefore, the least common multiple of 478 and 486 is 116154.