Least Common Multiple of 440 and 444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 440 and 444 the smallest integer that is 48840 that is divisible by both numbers.

Least Common Multiple (LCM) of 440 and 444 is 48840.

LCM(440,444) = 48840

LCM of 440 and 444

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

LCM of:
and

Least Common Multiple of 440 and 444

LCM of 440 and 444 is 48840

Least common multiple can be found by multiplying the highest exponent prime factors of 440 and 444. First we will calculate the prime factors of 440 and 444.

Prime Factorization of 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

Prime Factorization of 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 440 and 444.

LCM(440,444) = 23×31×51×111×371
LCM(440,444) = 48840

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Least Common Multiple of 440 and 444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 440 and 444, than apply into the LCM equation.

GCF(440,444) = 4
LCM(440,444) = ( 440 × 444) / 4
LCM(440,444) = 195360 / 4
LCM(440,444) = 48840

Properties of LCM 440 and 444

(i) The LCM of 444 and 440 is associative

LCM of 440 and 444 = LCM of 444 and 440

Related Least Common Multiples of 440

Related Least Common Multiples of 444

Frequently Asked Questions on LCM of 440 and 444

1. What is the LCM of 440 and 444?

Answer: LCM of 440 and 444 is 48840.

2. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

3. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

4. How to Find the LCM of 440 and 444?

Answer:

Least Common Multiple of 440 and 444 = 48840

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

LCM = 48840 = 2 x 2 x 2 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 440 and 444 is 48840.