Least Common Multiple of 906 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 906 and 910 the smallest integer that is 412230 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 910 is 412230.

LCM(906,910) = 412230

LCM of 906 and 910

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

LCM of:
and

Least Common Multiple of 906 and 910

LCM of 906 and 910 is 412230

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 910. First we will calculate the prime factors of 906 and 910.

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2, 3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

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 906 and 910.

LCM(906,910) = 21×31×51×71×131×1511
LCM(906,910) = 412230

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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 906 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 906 and 910, than apply into the LCM equation.

GCF(906,910) = 2
LCM(906,910) = ( 906 × 910) / 2
LCM(906,910) = 824460 / 2
LCM(906,910) = 412230

Properties of LCM 906 and 910

(i) The LCM of 910 and 906 is associative

LCM of 906 and 910 = LCM of 910 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 910

Frequently Asked Questions on LCM of 906 and 910

1. What is the LCM of 906 and 910?

Answer: LCM of 906 and 910 is 412230.

2. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

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 906 and 910?

Answer:

Least Common Multiple of 906 and 910 = 412230

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

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 = 412230 = 2 x 3 x 5 x 7 x 13 x 151

Step 4: Therefore, the least common multiple of 906 and 910 is 412230.