Least Common Multiple of 1485 and 1490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1485 and 1490 the smallest integer that is 442530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1485 and 1490 is 442530.

LCM(1485,1490) = 442530

LCM of 1485 and 1490

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

LCM of:
and

Least Common Multiple of 1485 and 1490

LCM of 1485 and 1490 is 442530

Least common multiple can be found by multiplying the highest exponent prime factors of 1485 and 1490. First we will calculate the prime factors of 1485 and 1490.

Prime Factorization of 1485


3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 1485 are 3, 5,11. Prime factorization of 1485 in exponential form is:

1485 = 33×51×111

Prime Factorization of 1490


2 1490
5 745
149 149
1

Prime factors of 1490 are 2, 5,149. Prime factorization of 1490 in exponential form is:

1490 = 21×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1485 and 1490.

LCM(1485,1490) = 21×33×51×111×1491
LCM(1485,1490) = 442530

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1, 2, 5, 10, 149, 298, 745, 1490

Least Common Multiple of 1485 and 1490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1485 and 1490, than apply into the LCM equation.

GCF(1485,1490) = 5
LCM(1485,1490) = ( 1485 × 1490) / 5
LCM(1485,1490) = 2212650 / 5
LCM(1485,1490) = 442530

Properties of LCM 1485 and 1490

(i) The LCM of 1490 and 1485 is associative

LCM of 1485 and 1490 = LCM of 1490 and 1485

Related Least Common Multiples of 1485

Related Least Common Multiples of 1490

Frequently Asked Questions on LCM of 1485 and 1490

1. What is the LCM of 1485 and 1490?

Answer: LCM of 1485 and 1490 is 442530.

2. What are the Factors of 1485?

Answer: Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. There are 16 integers that are factors of 1485. The greatest factor of 1485 is 1485.

3. What are the Factors of 1490?

Answer: Factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490. There are 8 integers that are factors of 1490. The greatest factor of 1490 is 1490.

4. How to Find the LCM of 1485 and 1490?

Answer:

Least Common Multiple of 1485 and 1490 = 442530

Step 1: Find the prime factorization of 1485

1485 = 3 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 1490

1490 = 2 x 5 x 149

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

LCM = 442530 = 2 x 3 x 3 x 3 x 5 x 11 x 149

Step 4: Therefore, the least common multiple of 1485 and 1490 is 442530.