# How do you find the LCM using prime factorization Class 10?

Table of Contents

## How do you find the LCM using prime factorization Class 10?

Step 1: To find LCM of 20 and 12, write each number as a product of prime factors. Step 2: Multiply all the prime factors with the highest degree. Here we have 2 with highest power 2 and other prime factors 3 and 5. Multiply all these to get LCM.

**What is the LCM LCM of 10 and 12?**

60

Answer: LCM of 10 and 12 is 60.

**What is the prime factorization of 10?**

The Prime Factors of 10 are 1, 2, 5, 10 and its Factors in Pairs are (1, 10) and (2, 5).

### What is the LCM of 10 and 25?

50

Answer: LCM of 10 and 25 is 50.

**What is the prime factorization method of 12?**

What is the prime factorization of 12? The prime factorization of 12 is 2×2×3 or 22 × 3.

**What is a prime factorization of 12?**

The numbers 2 and 3 are the only prime factors of 12, but a prime factorization of 12 must list the 2 twice — 2 × 2 × 3 (or 22 × 3), because 2 × 3, by itself, doesn’t make 12. Though many numbers can be factored in more than one way, their prime factorization is unique!

#### How do you find the LCM of 10 and 12?

Steps to find LCM 1 Find the prime factorization of 10 10 = 2 × 5 2 Find the prime factorization of 12 12 = 2 × 2 × 3 3 Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 5 4 LCM = 60

**How to calculate the LCM of two numbers using prime factorization?**

In addition to the cake method, we can calculate the LCM of two numbers by using prime factorization. Once we find the prime factorization of the given numbers by using the factorization tree or the upside-down division method, we mark the common prime factors.

**What is the least common multiple of 10 and 12?**

What is the LCM of 10 and 12? The LCM of 10 and 12 is 60. Find least common multiple (LCM) of: 20 & 24 5 & 6 30 & 36 50 & 60 70 & 84 20 & 12 10 & 24 30 & 12 10 & 36 50 & 12 10 & 60 70 & 12 10 & 84

## How do you find the LCM of a set of integers?

A more systematic way to find the LCM of some given integers is to use prime factorization. Prime factorization involves breaking down each of the numbers being compared into its product of prime numbers.