Least Common Multiple of 904 and 910

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 910 the smallest integer that is 411320 that is divisible by both numbers.

Least Common Multiple (LCM) of 904 and 910 is 411320.

LCM(904,910) = 411320

LCM of 904 and 910

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

LCM of:
and

Least Common Multiple of 904 and 910

LCM of 904 and 910 is 411320

Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 910. First we will calculate the prime factors of 904 and 910.

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 910


2 910
5 455
7 91
13 13
1

Prime factors of 910 are 2, 5, 7,13. Prime factorization of 910 in exponential form is:

910 = 21×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 904 and 910.

LCM(904,910) = 23×51×71×131×1131
LCM(904,910) = 411320

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 910

List of positive integer factors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Least Common Multiple of 904 and 910 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 910, than apply into the LCM equation.

GCF(904,910) = 2
LCM(904,910) = ( 904 × 910) / 2
LCM(904,910) = 822640 / 2
LCM(904,910) = 411320

Properties of LCM 904 and 910

(i) The LCM of 910 and 904 is associative

LCM of 904 and 910 = LCM of 910 and 904

Related Least Common Multiples of 904

Related Least Common Multiples of 910

Frequently Asked Questions on LCM of 904 and 910

1. What is the LCM of 904 and 910?

Answer: LCM of 904 and 910 is 411320.

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 910?

Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.

4. How to Find the LCM of 904 and 910?

Answer:

Least Common Multiple of 904 and 910 = 411320

Step 1: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 910

910 = 2 x 5 x 7 x 13

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

LCM = 411320 = 2 x 2 x 2 x 5 x 7 x 13 x 113

Step 4: Therefore, the least common multiple of 904 and 910 is 411320.