The hcf of 140 and x is 20.
The lowest common multiple of 140 and x is 20.
What is the value of x?
Thank you.
Huh? LCM(140,n) has to be at least 140...
The hcf of 140 and x is 420 what is x
To find the value of x, we need to use the fact that the highest common factor (HCF) of 140 and x is 20. The HCF represents the largest number that divides both 140 and x.
Now, the prime factorization of 140 is 2^2 * 5 * 7. From this, we can deduce that the largest power of 2 that divides 140 is 2^2; the largest power of 5 that divides 140 is 5^1 (since 5^2 is not a factor of 140); and the largest power of 7 that divides 140 is 7^1 (since 7^2 is not a factor of 140).
From the given information that the HCF of 140 and x is 20, we can conclude that the prime factorizations of 140 and x must have common factors, and 20 must be the largest power of the common factors between them.
So, the prime factorization of x would have the common factors 2^2 * 5 * 7, and some additional factors (possibly to a higher power) that are not common with 140.
The lowest common multiple (LCM) of 140 and x is also given to be 20. The LCM represents the smallest number that is divisible by both 140 and x.
Since the LCM is 20, we know that both numbers 140 and x are divisible by 20. Therefore, x must be a multiple of 20.
In conclusion, x is a multiple of 20 and its prime factorization includes the factors 2, 5, and 7 (to some power), just like 140. The specific value of x cannot be determined from the given information alone.