Least Common Multiple of 1484 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 1484 and 1490 the smallest integer that is 1105580 that is divisible by both numbers.

Least Common Multiple (LCM) of 1484 and 1490 is 1105580.

LCM(1484,1490) = 1105580

LCM of 1484 and 1490

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

LCM of:
and

Least Common Multiple of 1484 and 1490

LCM of 1484 and 1490 is 1105580

Least common multiple can be found by multiplying the highest exponent prime factors of 1484 and 1490. First we will calculate the prime factors of 1484 and 1490.

Prime Factorization of 1484


2 1484
2 742
7 371
53 53
1

Prime factors of 1484 are 2, 7,53. Prime factorization of 1484 in exponential form is:

1484 = 22×71×531

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 1484 and 1490.

LCM(1484,1490) = 22×51×71×531×1491
LCM(1484,1490) = 1105580

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484

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 1484 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 1484 and 1490, than apply into the LCM equation.

GCF(1484,1490) = 2
LCM(1484,1490) = ( 1484 × 1490) / 2
LCM(1484,1490) = 2211160 / 2
LCM(1484,1490) = 1105580

Properties of LCM 1484 and 1490

(i) The LCM of 1490 and 1484 is associative

LCM of 1484 and 1490 = LCM of 1490 and 1484

Related Least Common Multiples of 1484

Related Least Common Multiples of 1490

Frequently Asked Questions on LCM of 1484 and 1490

1. What is the LCM of 1484 and 1490?

Answer: LCM of 1484 and 1490 is 1105580.

2. What are the Factors of 1484?

Answer: Factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. There are 12 integers that are factors of 1484. The greatest factor of 1484 is 1484.

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 1484 and 1490?

Answer:

Least Common Multiple of 1484 and 1490 = 1105580

Step 1: Find the prime factorization of 1484

1484 = 2 x 2 x 7 x 53

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 = 1105580 = 2 x 2 x 5 x 7 x 53 x 149

Step 4: Therefore, the least common multiple of 1484 and 1490 is 1105580.