Least Common Multiple of 491 and 498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 491 and 498 the smallest integer that is 244518 that is divisible by both numbers.

Least Common Multiple (LCM) of 491 and 498 is 244518.

LCM(491,498) = 244518

LCM of 491 and 498

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

LCM of:
and

Least Common Multiple of 491 and 498

LCM of 491 and 498 is 244518

Least common multiple can be found by multiplying the highest exponent prime factors of 491 and 498. First we will calculate the prime factors of 491 and 498.

Prime Factorization of 491


491 491
1

Prime factors of 491 are 491. Prime factorization of 491 in exponential form is:

491 = 4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 491 and 498.

LCM(491,498) = 21×31×831×4911
LCM(491,498) = 244518

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1, 491

Factors of 498

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

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

Least Common Multiple of 491 and 498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 491 and 498, than apply into the LCM equation.

GCF(491,498) = 1
LCM(491,498) = ( 491 × 498) / 1
LCM(491,498) = 244518 / 1
LCM(491,498) = 244518

Properties of LCM 491 and 498

(i) The LCM of 498 and 491 is associative

LCM of 491 and 498 = LCM of 498 and 491

Related Least Common Multiples of 491

Related Least Common Multiples of 498

Frequently Asked Questions on LCM of 491 and 498

1. What is the LCM of 491 and 498?

Answer: LCM of 491 and 498 is 244518.

2. What are the Factors of 491?

Answer: Factors of 491 are 1, 491. There are 2 integers that are factors of 491. The greatest factor of 491 is 491.

3. 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.

4. How to Find the LCM of 491 and 498?

Answer:

Least Common Multiple of 491 and 498 = 244518

Step 1: Find the prime factorization of 491

491 = 491

Step 2: Find the prime factorization of 498

498 = 2 x 3 x 83

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

LCM = 244518 = 2 x 3 x 83 x 491

Step 4: Therefore, the least common multiple of 491 and 498 is 244518.