Least Common Multiple of 910 and 914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 910 and 914 the smallest integer that is 415870 that is divisible by both numbers.

Least Common Multiple (LCM) of 910 and 914 is 415870.

LCM(910,914) = 415870

LCM of 910 and 914

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

LCM of:
and

Least Common Multiple of 910 and 914

LCM of 910 and 914 is 415870

Least common multiple can be found by multiplying the highest exponent prime factors of 910 and 914. First we will calculate the prime factors of 910 and 914.

Prime Factorization of 910


2 910
5 455
7 91
13 13
1

Prime factors of 910 are 2, 5, 7,13. Prime factorization of 910 in exponential form is:

910 = 21×51×71×131

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 910 and 914.

LCM(910,914) = 21×51×71×131×4571
LCM(910,914) = 415870

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Least Common Multiple of 910 and 914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 910 and 914, than apply into the LCM equation.

GCF(910,914) = 2
LCM(910,914) = ( 910 × 914) / 2
LCM(910,914) = 831740 / 2
LCM(910,914) = 415870

Properties of LCM 910 and 914

(i) The LCM of 914 and 910 is associative

LCM of 910 and 914 = LCM of 914 and 910

Related Least Common Multiples of 910

Related Least Common Multiples of 914

Frequently Asked Questions on LCM of 910 and 914

1. What is the LCM of 910 and 914?

Answer: LCM of 910 and 914 is 415870.

2. What are the Factors of 910?

Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.

3. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

4. How to Find the LCM of 910 and 914?

Answer:

Least Common Multiple of 910 and 914 = 415870

Step 1: Find the prime factorization of 910

910 = 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 914

914 = 2 x 457

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

LCM = 415870 = 2 x 5 x 7 x 13 x 457

Step 4: Therefore, the least common multiple of 910 and 914 is 415870.