Least Common Multiple of 905 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 905 and 910 the smallest integer that is 164710 that is divisible by both numbers.

Least Common Multiple (LCM) of 905 and 910 is 164710.

LCM(905,910) = 164710

LCM of 905 and 910

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

LCM of:
and

Least Common Multiple of 905 and 910

LCM of 905 and 910 is 164710

Least common multiple can be found by multiplying the highest exponent prime factors of 905 and 910. First we will calculate the prime factors of 905 and 910.

Prime Factorization of 905


5 905
181 181
1

Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:

905 = 51×1811

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 905 and 910.

LCM(905,910) = 21×51×71×131×1811
LCM(905,910) = 164710

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1, 5, 181, 905

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 905 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 905 and 910, than apply into the LCM equation.

GCF(905,910) = 5
LCM(905,910) = ( 905 × 910) / 5
LCM(905,910) = 823550 / 5
LCM(905,910) = 164710

Properties of LCM 905 and 910

(i) The LCM of 910 and 905 is associative

LCM of 905 and 910 = LCM of 910 and 905

Related Least Common Multiples of 905

Related Least Common Multiples of 910

Frequently Asked Questions on LCM of 905 and 910

1. What is the LCM of 905 and 910?

Answer: LCM of 905 and 910 is 164710.

2. What are the Factors of 905?

Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.

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 905 and 910?

Answer:

Least Common Multiple of 905 and 910 = 164710

Step 1: Find the prime factorization of 905

905 = 5 x 181

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 = 164710 = 2 x 5 x 7 x 13 x 181

Step 4: Therefore, the least common multiple of 905 and 910 is 164710.