Least Common Multiple of 907 and 912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 907 and 912 the smallest integer that is 827184 that is divisible by both numbers.

Least Common Multiple (LCM) of 907 and 912 is 827184.

LCM(907,912) = 827184

LCM of 907 and 912

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

LCM of:
and

Least Common Multiple of 907 and 912

LCM of 907 and 912 is 827184

Least common multiple can be found by multiplying the highest exponent prime factors of 907 and 912. First we will calculate the prime factors of 907 and 912.

Prime Factorization of 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 907 and 912.

LCM(907,912) = 24×31×191×9071
LCM(907,912) = 827184

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

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

Least Common Multiple of 907 and 912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 907 and 912, than apply into the LCM equation.

GCF(907,912) = 1
LCM(907,912) = ( 907 × 912) / 1
LCM(907,912) = 827184 / 1
LCM(907,912) = 827184

Properties of LCM 907 and 912

(i) The LCM of 912 and 907 is associative

LCM of 907 and 912 = LCM of 912 and 907

Related Least Common Multiples of 907

Related Least Common Multiples of 912

Frequently Asked Questions on LCM of 907 and 912

1. What is the LCM of 907 and 912?

Answer: LCM of 907 and 912 is 827184.

2. What are the Factors of 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

3. 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.

4. How to Find the LCM of 907 and 912?

Answer:

Least Common Multiple of 907 and 912 = 827184

Step 1: Find the prime factorization of 907

907 = 907

Step 2: Find the prime factorization of 912

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

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

LCM = 827184 = 2 x 2 x 2 x 2 x 3 x 19 x 907

Step 4: Therefore, the least common multiple of 907 and 912 is 827184.