Least Common Multiple of 498 and 505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 498 and 505 the smallest integer that is 251490 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 505 is 251490.

LCM(498,505) = 251490

LCM of 498 and 505

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

LCM of:
and

Least Common Multiple of 498 and 505

LCM of 498 and 505 is 251490

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 505. First we will calculate the prime factors of 498 and 505.

Prime Factorization of 498


2 498
3 249
83 83
1

Prime factors of 498 are 2, 3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

Prime Factorization of 505


5 505
101 101
1

Prime factors of 505 are 5,101. Prime factorization of 505 in exponential form is:

505 = 51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 498 and 505.

LCM(498,505) = 21×31×51×831×1011
LCM(498,505) = 251490

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Least Common Multiple of 498 and 505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 498 and 505, than apply into the LCM equation.

GCF(498,505) = 1
LCM(498,505) = ( 498 × 505) / 1
LCM(498,505) = 251490 / 1
LCM(498,505) = 251490

Properties of LCM 498 and 505

(i) The LCM of 505 and 498 is associative

LCM of 498 and 505 = LCM of 505 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 505

Frequently Asked Questions on LCM of 498 and 505

1. What is the LCM of 498 and 505?

Answer: LCM of 498 and 505 is 251490.

2. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

3. What are the Factors of 505?

Answer: Factors of 505 are 1, 5, 101, 505. There are 4 integers that are factors of 505. The greatest factor of 505 is 505.

4. How to Find the LCM of 498 and 505?

Answer:

Least Common Multiple of 498 and 505 = 251490

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 505

505 = 5 x 101

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

LCM = 251490 = 2 x 3 x 5 x 83 x 101

Step 4: Therefore, the least common multiple of 498 and 505 is 251490.