Least Common Multiple of 904 and 911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 904 and 911 the smallest integer that is 823544 that is divisible by both numbers.

Least Common Multiple (LCM) of 904 and 911 is 823544.

LCM(904,911) = 823544

LCM of 904 and 911

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

LCM of:
and

Least Common Multiple of 904 and 911

LCM of 904 and 911 is 823544

Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 911. First we will calculate the prime factors of 904 and 911.

Prime Factorization of 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

Prime Factorization of 911


911 911
1

Prime factors of 911 are 911. Prime factorization of 911 in exponential form is:

911 = 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 904 and 911.

LCM(904,911) = 23×1131×9111
LCM(904,911) = 823544

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1, 911

Least Common Multiple of 904 and 911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 904 and 911, than apply into the LCM equation.

GCF(904,911) = 1
LCM(904,911) = ( 904 × 911) / 1
LCM(904,911) = 823544 / 1
LCM(904,911) = 823544

Properties of LCM 904 and 911

(i) The LCM of 911 and 904 is associative

LCM of 904 and 911 = LCM of 911 and 904

Related Least Common Multiples of 904

Related Least Common Multiples of 911

Frequently Asked Questions on LCM of 904 and 911

1. What is the LCM of 904 and 911?

Answer: LCM of 904 and 911 is 823544.

2. What are the Factors of 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

3. What are the Factors of 911?

Answer: Factors of 911 are 1, 911. There are 2 integers that are factors of 911. The greatest factor of 911 is 911.

4. How to Find the LCM of 904 and 911?

Answer:

Least Common Multiple of 904 and 911 = 823544

Step 1: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 911

911 = 911

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

LCM = 823544 = 2 x 2 x 2 x 113 x 911

Step 4: Therefore, the least common multiple of 904 and 911 is 823544.