find the lcm of 24 , 48 by division method
Answers
Answer:
Least Common Multiple of 24 and 48
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 24 and 48 is 48.
LCM(24,48) = 48
Step-by-step explanation:
Least Common Multiple of 24 and 48 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24 and 48, than apply into the LCM equation.
GCF(24,48) = 24
LCM(24,48) = ( 24 × 48) / 24
LCM(24,48) = 1152 / 24
LCM(24,48) = 48
Least Common Multiple (LCM) of 24 and 48 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24 and 48. First we will calculate the prime factors of 24 and 48.
Prime Factorization of 24
Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:
24 = 23 × 31
Prime Factorization of 48
Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:
48 = 24 × 31
Now multiplying the highest exponent prime factors to calculate the LCM of 24 and 48.
LCM(24,48) = 24 × 31
LCM(24,48) = 48
Answer:
Least common multiple (LCM) of 24 and 48 is 48. The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
Hope its helpful
Aashna ❤️