Least Common Multiple of 846 and 850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 846 and 850 the smallest integer that is 359550 that is divisible by both numbers.

Least Common Multiple (LCM) of 846 and 850 is 359550.

LCM(846,850) = 359550

LCM of 846 and 850

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

LCM of:
and

Least Common Multiple of 846 and 850

LCM of 846 and 850 is 359550

Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 850. First we will calculate the prime factors of 846 and 850.

Prime Factorization of 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 846 and 850.

LCM(846,850) = 21×32×52×171×471
LCM(846,850) = 359550

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

Least Common Multiple of 846 and 850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 846 and 850, than apply into the LCM equation.

GCF(846,850) = 2
LCM(846,850) = ( 846 × 850) / 2
LCM(846,850) = 719100 / 2
LCM(846,850) = 359550

Properties of LCM 846 and 850

(i) The LCM of 850 and 846 is associative

LCM of 846 and 850 = LCM of 850 and 846

Related Least Common Multiples of 846

Related Least Common Multiples of 850

Frequently Asked Questions on LCM of 846 and 850

1. What is the LCM of 846 and 850?

Answer: LCM of 846 and 850 is 359550.

2. What are the Factors of 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

3. 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.

4. How to Find the LCM of 846 and 850?

Answer:

Least Common Multiple of 846 and 850 = 359550

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

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

LCM = 359550 = 2 x 3 x 3 x 5 x 5 x 17 x 47

Step 4: Therefore, the least common multiple of 846 and 850 is 359550.