Least Common Multiple of 847 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 847 and 850 the smallest integer that is 719950 that is divisible by both numbers.

Least Common Multiple (LCM) of 847 and 850 is 719950.

LCM(847,850) = 719950

LCM of 847 and 850

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

LCM of:
and

Least Common Multiple of 847 and 850

LCM of 847 and 850 is 719950

Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 850. First we will calculate the prime factors of 847 and 850.

Prime Factorization of 847


7 847
11 121
11 11
1

Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:

847 = 71×112

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 847 and 850.

LCM(847,850) = 21×52×71×112×171
LCM(847,850) = 719950

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

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 847 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 847 and 850, than apply into the LCM equation.

GCF(847,850) = 1
LCM(847,850) = ( 847 × 850) / 1
LCM(847,850) = 719950 / 1
LCM(847,850) = 719950

Properties of LCM 847 and 850

(i) The LCM of 850 and 847 is associative

LCM of 847 and 850 = LCM of 850 and 847

Related Least Common Multiples of 847

Related Least Common Multiples of 850

Frequently Asked Questions on LCM of 847 and 850

1. What is the LCM of 847 and 850?

Answer: LCM of 847 and 850 is 719950.

2. What are the Factors of 847?

Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.

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 847 and 850?

Answer:

Least Common Multiple of 847 and 850 = 719950

Step 1: Find the prime factorization of 847

847 = 7 x 11 x 11

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 = 719950 = 2 x 5 x 5 x 7 x 11 x 11 x 17

Step 4: Therefore, the least common multiple of 847 and 850 is 719950.