Least Common Multiple of 488 and 495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 488 and 495 the smallest integer that is 241560 that is divisible by both numbers.

Least Common Multiple (LCM) of 488 and 495 is 241560.

LCM(488,495) = 241560

LCM of 488 and 495

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

LCM of:
and

Least Common Multiple of 488 and 495

LCM of 488 and 495 is 241560

Least common multiple can be found by multiplying the highest exponent prime factors of 488 and 495. First we will calculate the prime factors of 488 and 495.

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

Prime Factorization of 495


3 495
3 165
5 55
11 11
1

Prime factors of 495 are 3, 5,11. Prime factorization of 495 in exponential form is:

495 = 32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 488 and 495.

LCM(488,495) = 23×32×51×111×611
LCM(488,495) = 241560

Factors of 488

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

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

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Least Common Multiple of 488 and 495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 488 and 495, than apply into the LCM equation.

GCF(488,495) = 1
LCM(488,495) = ( 488 × 495) / 1
LCM(488,495) = 241560 / 1
LCM(488,495) = 241560

Properties of LCM 488 and 495

(i) The LCM of 495 and 488 is associative

LCM of 488 and 495 = LCM of 495 and 488

Related Least Common Multiples of 488

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 488 and 495

1. What is the LCM of 488 and 495?

Answer: LCM of 488 and 495 is 241560.

2. 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.

3. What are the Factors of 495?

Answer: Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. There are 12 integers that are factors of 495. The greatest factor of 495 is 495.

4. How to Find the LCM of 488 and 495?

Answer:

Least Common Multiple of 488 and 495 = 241560

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

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

LCM = 241560 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 61

Step 4: Therefore, the least common multiple of 488 and 495 is 241560.