Least Common Multiple of 902 and 910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 902 and 910 the smallest integer that is 410410 that is divisible by both numbers.

Least Common Multiple (LCM) of 902 and 910 is 410410.

LCM(902,910) = 410410

LCM of 902 and 910

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

LCM of:
and

Least Common Multiple of 902 and 910

LCM of 902 and 910 is 410410

Least common multiple can be found by multiplying the highest exponent prime factors of 902 and 910. First we will calculate the prime factors of 902 and 910.

Prime Factorization of 902


2 902
11 451
41 41
1

Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 902 and 910.

LCM(902,910) = 21×51×71×111×131×411
LCM(902,910) = 410410

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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

Least Common Multiple of 902 and 910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 902 and 910, than apply into the LCM equation.

GCF(902,910) = 2
LCM(902,910) = ( 902 × 910) / 2
LCM(902,910) = 820820 / 2
LCM(902,910) = 410410

Properties of LCM 902 and 910

(i) The LCM of 910 and 902 is associative

LCM of 902 and 910 = LCM of 910 and 902

Related Least Common Multiples of 902

Related Least Common Multiples of 910

Frequently Asked Questions on LCM of 902 and 910

1. What is the LCM of 902 and 910?

Answer: LCM of 902 and 910 is 410410.

2. What are the Factors of 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

3. 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.

4. How to Find the LCM of 902 and 910?

Answer:

Least Common Multiple of 902 and 910 = 410410

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

Step 2: Find the prime factorization of 910

910 = 2 x 5 x 7 x 13

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

LCM = 410410 = 2 x 5 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 902 and 910 is 410410.