Least Common Multiple of 1490 and 1496

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 1496 the smallest integer that is 1114520 that is divisible by both numbers.

Least Common Multiple (LCM) of 1490 and 1496 is 1114520.

LCM(1490,1496) = 1114520

LCM of 1490 and 1496

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

LCM of:
and

Least Common Multiple of 1490 and 1496

LCM of 1490 and 1496 is 1114520

Least common multiple can be found by multiplying the highest exponent prime factors of 1490 and 1496. First we will calculate the prime factors of 1490 and 1496.

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 1496


2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 1496 are 2, 11,17. Prime factorization of 1496 in exponential form is:

1496 = 23×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1490 and 1496.

LCM(1490,1496) = 23×51×111×171×1491
LCM(1490,1496) = 1114520

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 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496

Least Common Multiple of 1490 and 1496 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 1496, than apply into the LCM equation.

GCF(1490,1496) = 2
LCM(1490,1496) = ( 1490 × 1496) / 2
LCM(1490,1496) = 2229040 / 2
LCM(1490,1496) = 1114520

Properties of LCM 1490 and 1496

(i) The LCM of 1496 and 1490 is associative

LCM of 1490 and 1496 = LCM of 1496 and 1490

Related Least Common Multiples of 1490

Related Least Common Multiples of 1496

Frequently Asked Questions on LCM of 1490 and 1496

1. What is the LCM of 1490 and 1496?

Answer: LCM of 1490 and 1496 is 1114520.

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 1496?

Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.

4. How to Find the LCM of 1490 and 1496?

Answer:

Least Common Multiple of 1490 and 1496 = 1114520

Step 1: Find the prime factorization of 1490

1490 = 2 x 5 x 149

Step 2: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

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

LCM = 1114520 = 2 x 2 x 2 x 5 x 11 x 17 x 149

Step 4: Therefore, the least common multiple of 1490 and 1496 is 1114520.