Least Common Multiple of 888 and 895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 888 and 895 the smallest integer that is 794760 that is divisible by both numbers.

Least Common Multiple (LCM) of 888 and 895 is 794760.

LCM(888,895) = 794760

LCM of 888 and 895

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

LCM of:
and

Least Common Multiple of 888 and 895

LCM of 888 and 895 is 794760

Least common multiple can be found by multiplying the highest exponent prime factors of 888 and 895. First we will calculate the prime factors of 888 and 895.

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2, 3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

Prime Factorization of 895


5 895
179 179
1

Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:

895 = 51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 888 and 895.

LCM(888,895) = 23×31×51×371×1791
LCM(888,895) = 794760

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Least Common Multiple of 888 and 895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 888 and 895, than apply into the LCM equation.

GCF(888,895) = 1
LCM(888,895) = ( 888 × 895) / 1
LCM(888,895) = 794760 / 1
LCM(888,895) = 794760

Properties of LCM 888 and 895

(i) The LCM of 895 and 888 is associative

LCM of 888 and 895 = LCM of 895 and 888

Related Least Common Multiples of 888

Related Least Common Multiples of 895

Frequently Asked Questions on LCM of 888 and 895

1. What is the LCM of 888 and 895?

Answer: LCM of 888 and 895 is 794760.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

3. What are the Factors of 895?

Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.

4. How to Find the LCM of 888 and 895?

Answer:

Least Common Multiple of 888 and 895 = 794760

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 895

895 = 5 x 179

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

LCM = 794760 = 2 x 2 x 2 x 3 x 5 x 37 x 179

Step 4: Therefore, the least common multiple of 888 and 895 is 794760.