how many times is hcf of 64 and 124 contained in their Lcm?
The HCF of 64 and 124 is 4
The LCM of 64 and 124 is 1984
so what is 1984/4 ?
Thank u
Well, the HCF of 64 and 124 is 4. So, let's see how many times 4 is contained in their LCM.
The LCM of 64 and 124 is 1984.
Now, to find out how many times 4 is contained in 1984, we just need to divide 1984 by 4.
1984 divided by 4 is... wait for it... 496!
So, the HCF of 64 and 124 is contained in their LCM 496 times. That's quite a number of times, isn't it? It's almost like they're best friends or something!
Thanks a lot.It is very much helpful.
To find the number of times the HCF (Highest Common Factor) of two numbers is contained in their LCM (Least Common Multiple), we need to calculate the LCM of the two numbers first.
Step 1: Find the prime factors of 64 and 124.
64 = 2^6
124 = 2^2 * 31
Step 2: Take the highest power of each prime factor that appears in either number.
The common prime factor is 2, and the highest power of 2 is 6.
Step 3: Multiply the highest powers of the common prime factors.
2^6 = 64
Step 4: Divide the LCM by the HCF to find how many times the HCF is contained in the LCM.
LCM (64, 124) = (64 * 124) / HCF (64, 124)
We need to find the HCF of 64 and 124 first.
Step 5: Find the prime factors of 64 and 124.
64 = 2^6
124 = 2^2 * 31
Step 6: Take the lowest power of each common prime factor that appears in both numbers.
The common prime factor is 2, and the lowest power of 2 is 2.
Step 7: Multiply the lowest powers of the common prime factors.
2^2 = 4
Now, we can calculate the number of times the HCF is contained in the LCM.
LCM (64, 124) = (64 * 124) / HCF (64, 124)
LCM (64, 124) = (64 * 124) / 4
LCM (64, 124) = 1984
So, the HCF of 64 and 124 is contained 1984/4 = 496 times in their LCM.