0
There are many ways to find the LCM, or least common multiple. One way I like is to factor the number into primes first. So 5 is prime already and 25 is 5^2, and 30 is 5x3x2. Now take the largest value of each prime occurring in any of the prime factorization. So, for example, if we have 5, 5^2 and 5^3, in the three prime factorizations, we take the 5^3. If we do not see the prime at all, that is the same as p^0 which is 1. So In the example you asked about, we have 5^2x2x3=150. We can find the gcd in a similar manner by taking looking at the smallest exponent instead of the largest! Dr. Chuck
Still curious? Ask our experts.
Chat with our AI personalities
Jordan
Coach
LaoAdd your answer:
Earn +20 pts
What is the LCM of 25 and 30?
The LCM (Least Common Multiple) of 25 and 30 is the smallest number that is a multiple of both 25 and 30. To find the LCM, we first need to find the prime factorization of each number: 25 = 5^2 and 30 = 2 * 3 * 5. Then, we take the highest power of each prime factor that appears in either number: 2^1 * 3^1 * 5^2 = 150. Therefore, the LCM of 25 and 30 is 150.
What is the least common multiple of 25 and 30?
The LCM of 25 and 30 is: 150The prime factorization of 25 = 5x5The prime factorization of 30 = 2x3x5GCF = 5But, what is the use of calculating GCF here?Answer: If we divide the product of 25 and 30 by GCF then the result is LCM.Product of 25 & 30 = 25x30 = 750So, LCM = 750/5 =150Least Common Multiple (LCM) for 25 30 is 150
What is the LCM of 2 6 and 5?
30Least Common Multiple (LCM) of (2,5,6) is 30.
How do you use the prime factorizations to find the LCM of 25 and 30?
5 x 5 = 25 2 x 3 x 5 = 30 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 5 = 150, the LCM.
What is the LCM of 30 and 25 and 10?
The LCM is: 150
