In math, if we multiply the same number by another numbers means it is called as multiple
. Common multiple is if we get the same number from any two numbers multiple means that is referred as common multiple. In common multiple, which is least value that is called as least common multiple.The least common multiple also written in short form as LCM.
Explanation for least Common Multiple Lcm
We can denote the LCM as LCM(a, b) and in expression na a = nb b = m. The prime factorization is used to determine the LCM.
Steps for find the least common multiple of two numbers:
Step 1: First thing, determine the greatest common factor of given numbers.
Step 2: Given numbers are multiplied.
Step 3: Finally, the result of product of numbers is divided by the greatest common factor.
Applications of least common multiple:
The least common multiple is used in arithmetic operations like addition, subtraction. This is used to calculate the LCM of denominator. The least common factor is determined in fraction form.
How to Find Lcm
Examples of least common multiple LCM:
Problem 1: Fin out the least common multiple for given form.
'4/2' + '5/4'
Answer:
The given form is '4/2'+ '5/4'
The LCM of denominator of given form is 4.
Multiply the given numbers that is '(4* 2 + 5)/4' .
The result of addition is '13/4' .
Problem 2: Find out the least common multiple and subtract the given form.
'7/5' '2/10'
Answer:
The LCM of given form is 10.
Multiply the given numbers with multiples like '(7 * 2 - 2)/10' .
The result of subtraction is '12/10' = '6/5' .
Exercise problems for least common multiple LCM:
1. Determine the LCM for given form:
'8/6' + '2/3'
Answer: The LCM is 6.
2. Find out the LCM of given form.
'5/4' '2/8'
Answer: The least common multiple is 8.
You can work on more problems from the lcm worksheets given.