Question

Find the LCM of the numbers given below by prime factorisation method.

$50,60$

Answer 1

Step 1: Find the prime factors of the given numbers.

Given numbers: $50$ and $60$

By doing prime factorization of $50$ we get,

Now, by doing prime factorization of $60$ we get,

Step 2: Collect the maximum number of occurrences of each prime factor.

Prime factors of $50$ $=2\times 5\times 5$

Prime factors of $60$$=2\times 2\times 3\times 5$

$2$ has occurred $2$ times, $3$ has occurred $1$ time and $5$ has occured $2$ times.

Therefore the LCM of $50$ and $60$ is $2\times 2\times 3\times 5\times 5=300$.

Hence, the LCM of $50$ and $60$ is $300$.