Least Common Multiple of 485 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 485 and 486 the smallest integer that is 235710 that is divisible by both numbers.

Least Common Multiple (LCM) of 485 and 486 is 235710.

LCM(485,486) = 235710

LCM of 485 and 486

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

LCM of:
and

Least Common Multiple of 485 and 486

LCM of 485 and 486 is 235710

Least common multiple can be found by multiplying the highest exponent prime factors of 485 and 486. First we will calculate the prime factors of 485 and 486.

Prime Factorization of 485


5 485
97 97
1

Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:

485 = 51×971

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 485 and 486.

LCM(485,486) = 21×35×51×971
LCM(485,486) = 235710

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1, 5, 97, 485

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 485 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 485 and 486, than apply into the LCM equation.

GCF(485,486) = 1
LCM(485,486) = ( 485 × 486) / 1
LCM(485,486) = 235710 / 1
LCM(485,486) = 235710

Properties of LCM 485 and 486

(i) The LCM of 486 and 485 is associative

LCM of 485 and 486 = LCM of 486 and 485

Related Least Common Multiples of 485

Related Least Common Multiples of 486

Frequently Asked Questions on LCM of 485 and 486

1. What is the LCM of 485 and 486?

Answer: LCM of 485 and 486 is 235710.

2. What are the Factors of 485?

Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.

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 485 and 486?

Answer:

Least Common Multiple of 485 and 486 = 235710

Step 1: Find the prime factorization of 485

485 = 5 x 97

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 = 235710 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 97

Step 4: Therefore, the least common multiple of 485 and 486 is 235710.