Least Common Multiple of 912 and 915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 912 and 915 the smallest integer that is 278160 that is divisible by both numbers.

Least Common Multiple (LCM) of 912 and 915 is 278160.

LCM(912,915) = 278160

LCM of 912 and 915

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

LCM of:
and

Least Common Multiple of 912 and 915

LCM of 912 and 915 is 278160

Least common multiple can be found by multiplying the highest exponent prime factors of 912 and 915. First we will calculate the prime factors of 912 and 915.

Prime Factorization of 912


2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 912 are 2, 3,19. Prime factorization of 912 in exponential form is:

912 = 24×31×191

Prime Factorization of 915


3 915
5 305
61 61
1

Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 912 and 915.

LCM(912,915) = 24×31×51×191×611
LCM(912,915) = 278160

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Least Common Multiple of 912 and 915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 912 and 915, than apply into the LCM equation.

GCF(912,915) = 3
LCM(912,915) = ( 912 × 915) / 3
LCM(912,915) = 834480 / 3
LCM(912,915) = 278160

Properties of LCM 912 and 915

(i) The LCM of 915 and 912 is associative

LCM of 912 and 915 = LCM of 915 and 912

Related Least Common Multiples of 912

Related Least Common Multiples of 915

Frequently Asked Questions on LCM of 912 and 915

1. What is the LCM of 912 and 915?

Answer: LCM of 912 and 915 is 278160.

2. What are the Factors of 912?

Answer: Factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912. There are 20 integers that are factors of 912. The greatest factor of 912 is 912.

3. What are the Factors of 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

4. How to Find the LCM of 912 and 915?

Answer:

Least Common Multiple of 912 and 915 = 278160

Step 1: Find the prime factorization of 912

912 = 2 x 2 x 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 915

915 = 3 x 5 x 61

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

LCM = 278160 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 61

Step 4: Therefore, the least common multiple of 912 and 915 is 278160.