Least Common Multiple of 890 and 892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 890 and 892 the smallest integer that is 396940 that is divisible by both numbers.

Least Common Multiple (LCM) of 890 and 892 is 396940.

LCM(890,892) = 396940

LCM of 890 and 892

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

LCM of:
and

Least Common Multiple of 890 and 892

LCM of 890 and 892 is 396940

Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 892. First we will calculate the prime factors of 890 and 892.

Prime Factorization of 890


2 890
5 445
89 89
1

Prime factors of 890 are 2, 5,89. Prime factorization of 890 in exponential form is:

890 = 21×51×891

Prime Factorization of 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 892.

LCM(890,892) = 22×51×891×2231
LCM(890,892) = 396940

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Least Common Multiple of 890 and 892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 890 and 892, than apply into the LCM equation.

GCF(890,892) = 2
LCM(890,892) = ( 890 × 892) / 2
LCM(890,892) = 793880 / 2
LCM(890,892) = 396940

Properties of LCM 890 and 892

(i) The LCM of 892 and 890 is associative

LCM of 890 and 892 = LCM of 892 and 890

Related Least Common Multiples of 890

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 890 and 892

1. What is the LCM of 890 and 892?

Answer: LCM of 890 and 892 is 396940.

2. What are the Factors of 890?

Answer: Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890. There are 8 integers that are factors of 890. The greatest factor of 890 is 890.

3. What are the Factors of 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

4. How to Find the LCM of 890 and 892?

Answer:

Least Common Multiple of 890 and 892 = 396940

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 892

892 = 2 x 2 x 223

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

LCM = 396940 = 2 x 2 x 5 x 89 x 223

Step 4: Therefore, the least common multiple of 890 and 892 is 396940.