Least Common Multiple of 850 and 854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 850 and 854 the smallest integer that is 362950 that is divisible by both numbers.

Least Common Multiple (LCM) of 850 and 854 is 362950.

LCM(850,854) = 362950

LCM of 850 and 854

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

LCM of:
and

Least Common Multiple of 850 and 854

LCM of 850 and 854 is 362950

Least common multiple can be found by multiplying the highest exponent prime factors of 850 and 854. First we will calculate the prime factors of 850 and 854.

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2, 5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 850 and 854.

LCM(850,854) = 21×52×71×171×611
LCM(850,854) = 362950

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Least Common Multiple of 850 and 854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 850 and 854, than apply into the LCM equation.

GCF(850,854) = 2
LCM(850,854) = ( 850 × 854) / 2
LCM(850,854) = 725900 / 2
LCM(850,854) = 362950

Properties of LCM 850 and 854

(i) The LCM of 854 and 850 is associative

LCM of 850 and 854 = LCM of 854 and 850

Related Least Common Multiples of 850

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 850 and 854

1. What is the LCM of 850 and 854?

Answer: LCM of 850 and 854 is 362950.

2. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

3. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

4. How to Find the LCM of 850 and 854?

Answer:

Least Common Multiple of 850 and 854 = 362950

Step 1: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 854

854 = 2 x 7 x 61

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

LCM = 362950 = 2 x 5 x 5 x 7 x 17 x 61

Step 4: Therefore, the least common multiple of 850 and 854 is 362950.