L. C. M defination and examples
Answers
Answer:
Lcm is defined as Least Common Multiple
Step-by-step explanation:
if a set of 2 numbers are given we must do prime factorisation for both the numbers and multiply the prime numbers to get the LCM
LCM is mostly used in solving fractions with different denominator
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Answer:
Least Common Multiple (L.C.M)
Multiple is a number that can be divided by the given number without leaving a reminder. For example:
20 is a multiple of 5
Or, 5 × 4 = 20
And, 20 ÷ 5 = 4
1. LCM using prime factorization
In this method, a factorization tree for each given number is generated by listing the multiples of that number. The last branch of the tree has the least prime factors for that number.
To find the LCM, pair the common multiples as shown. List them along with the remaining multiples.
LCM = 2 × 2 × 3 × 3 × 2 × 2
LCM = 144
Examples in attachment 1 and attachment 2.
2. LCM using repeated division
In this method, the given numbers are divided by the common divisors until there is no possible further division by the common number. The divisors and the remainders are multiplied together to obtain the LCM.
LCM = 2 × 2 × 3 × 4 × 3
LCM = 144 ------ You can see in attachment 3
3. LCM using multiples
To find the LCM using multiples, list the multiples of the numbers in the table as shown. The least common multiple is the first common multiple for the given numbers.
For 36 and 48, the number 144 is the LCM. -you can see in attachment 4
Hope it's helpful to you!! And you can understand
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