**Shortcut methods of Finding LCM and HCF**

**LCM, HCF Shortcut Tricks: Fast Methods of HCF, LCM as Lowest common multiple stands for LCM and Highest Common Factor stands for HCF are the most used methods of Mathematics and also the most important as they are used in finding the solution of many other question’s solution. A common question comes in mind HCF/ LCM problem solve in shortcut way as this portal is dedicated to give all latest shortcut methods of finding LCM and HCF, you can easily solve LCM and HCF of two or more numbers in your mind in seconds. The student can score in this exams if he/ she prepares well for LCM, HCF questions. The more information of**

*of numbers is given below...............................*

__shortcut methods or formulas of finding the LCM and HCF__

**Details of LCM, HCF Short Cut Tricks:****<<<<<<<<<<START>>>>>>>>>>>**

>> It is most common question how to find lcm/ hcf in shorter way?

When you practice this method, you can easily solve LCM of numbers in seconds in your mind. The below give method can easily be used to solve LCM of numbers in seconds without the use of paper work.

When you practice this method, you can easily solve LCM of numbers in seconds in your mind. The below give method can easily be used to solve LCM of numbers in seconds without the use of paper work.

**THE BELOW GIVEN METHOD OF FINDING LCM OF NUMBERS IS ONE OF THE BEST IF PRACTICED BETTER.**
Here is an example for the same. Suppose you are given a question:

Find the LCM of 12, 18?

Now here is the shortcut formula for solution of LCM of two
numbers or more numbers given above.

Find the LCM of 2, 3, 5?
Shortcut formula: pick 5 since it is highest number among
the three. Now check it whether it can be divided by 2 and 3. 5 cannot be
divided by 2 and 3. Now think of 5x2= 10 (since you know the table of 5). Check
whether it can be divided by 2 and 3. It again cannot be divided. Now think of
15 then 20 then 25 then 30. Now 30 is that number which can be divided by 2 and
3.

So the LCM of 2, 3, 5 is 30.

**Lowest Common Multiple (LCM):**The least or smallest common multiple of any two or more given natural numbers are termed as

**LCM**. For example, LCM of 10, 15, and 20 is 60.

**Highest Common Factor (HCF):**The largest or greatest factor common to any two or more given natural numbers is termed as

**HCF**of given numbers. Also known as GCD (Greatest Common Divisor)..........

For example, HCF of 4, 6 and 8 is 2.

4 = 2 × 2

6 =3 × 2

8 = 4 × 2

Here, highest common factor of 4, 6 and 8 is 2Shortcut method of finding HCF (Highest common factor)Wish all of you Good Luck

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