Steps to calculate LCM using Ladder Method
This method of calculation used a hierarchy for the finding of least common multiple. This technique is much similar to the repeated division method. But this method is not commonly used because of its multiple set of constrains to understand the formulation. On the other hand repeated division method is simple and easy to understand.
Ladder method continue dividing the given numbers repeatedly until the two of the given list are divisible from the list. We start this process using the first prime number 2. Ladder refers to the stairs in the sense of the visual structure, because at the final step we found a stairs step similar structure for the outcome of LCM.
Here are the list of steps that are required to calculate LCM using Ladder method
- List all the given numbers vertically.
- Start dividing these all numbers start from the 2.
- The constrain is that before dividing we have to ensure that at least two numbers are there which are completely divisible by the coming prime number. coming means from 2 to onward the same rule will be followed
- Divide and continue the above said process.
- In last step there will be the list of prime numbers which divide the list one after another.
- Now we have to multiply these all dividers and the remaining numbers.
- Multiply all these above said numbers to obtain the least common multiple.
Example
LCM Practice Questions
These are commonly asked questions about LCM that can be solved here step by step.
- Calculate LCM of 24, 56, 78
- Find the LCM of numbers 16, 40, 84, 82
- Calculate LCM of 108 and 16
- What is the Least Common Multiple of 304, 25, 10, 21 and 14
- Calculate LCM using Ladder method of 104, 22, 66 and 20
- Calculate LCM of 27 and 9
- Find LCM of 10 and 21
- Write down steps of calculating Least Common Multiple using Ladder method.
- Find LCM of 44 and 74
- Use Ladder technique for finding LCM of 84, 60, 22, 20 and 50
- Find the LCM of the following numbers 304, 160 and 300
- Find LCM of 76 and 202