Least Common Multiple of 890 and 896

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 896 the smallest integer that is 398720 that is divisible by both numbers.

Least Common Multiple (LCM) of 890 and 896 is 398720.

LCM(890,896) = 398720

LCM of 890 and 896

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

LCM of:
and

Least Common Multiple of 890 and 896

LCM of 890 and 896 is 398720

Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 896. First we will calculate the prime factors of 890 and 896.

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 896


2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 896 are 2,7. Prime factorization of 896 in exponential form is:

896 = 27×71

Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 896.

LCM(890,896) = 27×51×71×891
LCM(890,896) = 398720

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 896

List of positive integer factors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Least Common Multiple of 890 and 896 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 896, than apply into the LCM equation.

GCF(890,896) = 2
LCM(890,896) = ( 890 × 896) / 2
LCM(890,896) = 797440 / 2
LCM(890,896) = 398720

Properties of LCM 890 and 896

(i) The LCM of 896 and 890 is associative

LCM of 890 and 896 = LCM of 896 and 890

Related Least Common Multiples of 890

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 890 and 896

1. What is the LCM of 890 and 896?

Answer: LCM of 890 and 896 is 398720.

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 896?

Answer: Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. There are 16 integers that are factors of 896. The greatest factor of 896 is 896.

4. How to Find the LCM of 890 and 896?

Answer:

Least Common Multiple of 890 and 896 = 398720

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 896

896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 398720 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 89

Step 4: Therefore, the least common multiple of 890 and 896 is 398720.