Least Common Multiple of 1490 and 1494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1490 and 1494 the smallest integer that is 1113030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1490 and 1494 is 1113030.

LCM(1490,1494) = 1113030

LCM of 1490 and 1494

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

LCM of:
and

Least Common Multiple of 1490 and 1494

LCM of 1490 and 1494 is 1113030

Least common multiple can be found by multiplying the highest exponent prime factors of 1490 and 1494. First we will calculate the prime factors of 1490 and 1494.

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

Prime Factorization of 1494


2 1494
3 747
3 249
83 83
1

Prime factors of 1494 are 2, 3,83. Prime factorization of 1494 in exponential form is:

1494 = 21×32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1490 and 1494.

LCM(1490,1494) = 21×32×51×831×1491
LCM(1490,1494) = 1113030

Factors of 1490

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

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

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494

Least Common Multiple of 1490 and 1494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1490 and 1494, than apply into the LCM equation.

GCF(1490,1494) = 2
LCM(1490,1494) = ( 1490 × 1494) / 2
LCM(1490,1494) = 2226060 / 2
LCM(1490,1494) = 1113030

Properties of LCM 1490 and 1494

(i) The LCM of 1494 and 1490 is associative

LCM of 1490 and 1494 = LCM of 1494 and 1490

Related Least Common Multiples of 1490

Related Least Common Multiples of 1494

Frequently Asked Questions on LCM of 1490 and 1494

1. What is the LCM of 1490 and 1494?

Answer: LCM of 1490 and 1494 is 1113030.

2. 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.

3. What are the Factors of 1494?

Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.

4. How to Find the LCM of 1490 and 1494?

Answer:

Least Common Multiple of 1490 and 1494 = 1113030

Step 1: Find the prime factorization of 1490

1490 = 2 x 5 x 149

Step 2: Find the prime factorization of 1494

1494 = 2 x 3 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 = 1113030 = 2 x 3 x 3 x 5 x 83 x 149

Step 4: Therefore, the least common multiple of 1490 and 1494 is 1113030.