# What is the LCM of 850 and 680?

LCM of 850 and 680 is the smallest number which evenly or perfectly gets divided by both 850 and 680.

## Answer: LCM of 850 and 680 is 3400

We will learn two methods to find LCM of 850 and 680.

## Explanation:

Least Common Multiple (LCM) of 850 and 680 is the smallest number which divides 850 and 680 exactly.

- LCM of 850 and 680 by Prime Factorization
- LCM of 850 and 680 by Common division

### Method 1: LCM of 850 and 680 by Prime Factorization

Steps to find LCM 850 and 680 by Prime Factorization are shown below.

**Step 1:** Write the prime factorized form which must be in exponential notation.

**Step 2: **Take the product of factors with their highest power.

Prime Factorised form of 850: 2 × 5^{2 }× 17

Prime Factorised form of 680: 2^{3 }× 5 × 17

Product of Factors with the highest power: 2^{3 }× 5^{2 }× 17 = 3400

LCM (850 and 680) = 3400

### Method 2: LCM of 850 and 680 by Method of Common Division

In this division method, we divide the numbers parallely with prime numbers and stop until we don't have a prime number to divide the given numbers.