Least Common Multiple of 485 and 488

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 488 the smallest integer that is 236680 that is divisible by both numbers.

Least Common Multiple (LCM) of 485 and 488 is 236680.

LCM(485,488) = 236680

LCM of 485 and 488

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

LCM of:
and

Least Common Multiple of 485 and 488

LCM of 485 and 488 is 236680

Least common multiple can be found by multiplying the highest exponent prime factors of 485 and 488. First we will calculate the prime factors of 485 and 488.

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 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

Now multiplying the highest exponent prime factors to calculate the LCM of 485 and 488.

LCM(485,488) = 23×51×611×971
LCM(485,488) = 236680

Factors of 485

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

1, 5, 97, 485

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Least Common Multiple of 485 and 488 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 488, than apply into the LCM equation.

GCF(485,488) = 1
LCM(485,488) = ( 485 × 488) / 1
LCM(485,488) = 236680 / 1
LCM(485,488) = 236680

Properties of LCM 485 and 488

(i) The LCM of 488 and 485 is associative

LCM of 485 and 488 = LCM of 488 and 485

Related Least Common Multiples of 485

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 485 and 488

1. What is the LCM of 485 and 488?

Answer: LCM of 485 and 488 is 236680.

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 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

4. How to Find the LCM of 485 and 488?

Answer:

Least Common Multiple of 485 and 488 = 236680

Step 1: Find the prime factorization of 485

485 = 5 x 97

Step 2: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

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

LCM = 236680 = 2 x 2 x 2 x 5 x 61 x 97

Step 4: Therefore, the least common multiple of 485 and 488 is 236680.