Least Common Multiple of 910 and 918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 910 and 918 the smallest integer that is 417690 that is divisible by both numbers.

Least Common Multiple (LCM) of 910 and 918 is 417690.

LCM(910,918) = 417690

LCM of 910 and 918

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

LCM of:
and

Least Common Multiple of 910 and 918

LCM of 910 and 918 is 417690

Least common multiple can be found by multiplying the highest exponent prime factors of 910 and 918. First we will calculate the prime factors of 910 and 918.

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

Prime Factorization of 918


2 918
3 459
3 153
3 51
17 17
1

Prime factors of 918 are 2, 3,17. Prime factorization of 918 in exponential form is:

918 = 21×33×171

Now multiplying the highest exponent prime factors to calculate the LCM of 910 and 918.

LCM(910,918) = 21×33×51×71×131×171
LCM(910,918) = 417690

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

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Least Common Multiple of 910 and 918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 910 and 918, than apply into the LCM equation.

GCF(910,918) = 2
LCM(910,918) = ( 910 × 918) / 2
LCM(910,918) = 835380 / 2
LCM(910,918) = 417690

Properties of LCM 910 and 918

(i) The LCM of 918 and 910 is associative

LCM of 910 and 918 = LCM of 918 and 910

Related Least Common Multiples of 910

Related Least Common Multiples of 918

Frequently Asked Questions on LCM of 910 and 918

1. What is the LCM of 910 and 918?

Answer: LCM of 910 and 918 is 417690.

2. 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.

3. What are the Factors of 918?

Answer: Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. There are 16 integers that are factors of 918. The greatest factor of 918 is 918.

4. How to Find the LCM of 910 and 918?

Answer:

Least Common Multiple of 910 and 918 = 417690

Step 1: Find the prime factorization of 910

910 = 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

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

LCM = 417690 = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 910 and 918 is 417690.