Question

Shortcut methods for maths new HCF LCM

Answer 1

for lcm just take the common multiple
eg.. we will take two numbers ...
10 ND 15
step 1.. choose the highest number which is 15..
then check 15 is divisible by 10 ND 15 both or not.. if yes then 15 will be ur lcm... if not then take next multiple of 15 which is 30... 15*2 = 30 ...

now 30 is divisible by both 10 nd 15
so our lcm is 30 ....



to find hcf... hcf means highest common factor ...

eg 10 and 30

10= 2*5

30= 2*5*3
take common number = 5 ND dis is also highest from among.. so 5 will be hcf of 10 and 30..

I hope it will help u !!!

Answer 2

Answer:

Step 1 :

We have to decompose the given numbers in to prime factors.

In the example shown above, we have the two numbers 24 and 60.

24 = 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Step 2 :

Now, we have to draw two circles as shown above. The first one is for 24 and the second one is for 60.

Step 3 :

In the prime factors of 24 and 60, strikeout the common factor (which is found in both 24 and 60) and write that one in common region (intersection part) of two circles.

Step 4 :

If we find a prime factor which is in 24 but not in 60, strikeout that one and it has to be written in the circle of 24 (not in the common region).

If we find a prime factor which is in 60 but not in 24, strike out that one and it has to be written in the circle of 60 (not in the common region).

This process has to be continued until all the prime factors of both 24 and 60 are struck out.

Step 5 :

Once all the prime factors of both 24 and 60 are struck out, we have to do the following works to get HCF and LCM.

H.C.F = Multiply the prime factors which are found in the common region (Intersection part).

So, the H.C.F of 24 and 60 is

= 2 x 2 x 3

= 12

L.C.M = Multiply all the prime factors which are found in the two circles (Including the prime factors in the common region)

So, the L.C.M of 24 and 60 is

= 2 x 2 x 2 x 3 x 5

= 120

Step-by-step explanation:

$<marquee> I hope it helps you </marquee>$