Least Common Multiple of 485 and 492

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 492 the smallest integer that is 238620 that is divisible by both numbers.

Least Common Multiple (LCM) of 485 and 492 is 238620.

LCM(485,492) = 238620

LCM of 485 and 492

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

LCM of:
and

Least Common Multiple of 485 and 492

LCM of 485 and 492 is 238620

Least common multiple can be found by multiplying the highest exponent prime factors of 485 and 492. First we will calculate the prime factors of 485 and 492.

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 492


2 492
2 246
3 123
41 41
1

Prime factors of 492 are 2, 3,41. Prime factorization of 492 in exponential form is:

492 = 22×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 485 and 492.

LCM(485,492) = 22×31×51×411×971
LCM(485,492) = 238620

Factors of 485

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

1, 5, 97, 485

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Least Common Multiple of 485 and 492 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 492, than apply into the LCM equation.

GCF(485,492) = 1
LCM(485,492) = ( 485 × 492) / 1
LCM(485,492) = 238620 / 1
LCM(485,492) = 238620

Properties of LCM 485 and 492

(i) The LCM of 492 and 485 is associative

LCM of 485 and 492 = LCM of 492 and 485

Related Least Common Multiples of 485

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 485 and 492

1. What is the LCM of 485 and 492?

Answer: LCM of 485 and 492 is 238620.

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 492?

Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.

4. How to Find the LCM of 485 and 492?

Answer:

Least Common Multiple of 485 and 492 = 238620

Step 1: Find the prime factorization of 485

485 = 5 x 97

Step 2: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

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

LCM = 238620 = 2 x 2 x 3 x 5 x 41 x 97

Step 4: Therefore, the least common multiple of 485 and 492 is 238620.