Step-by-step explanation:
The L.C.M of any numbers can be obtained by using two methods and they are :
- Prime Factorization method
- Division method
The steps for finding L.C.M of the given numbers by prime factorization method are mentioned below :
- First of all , find the prime factors of each numbers.
- Take out the common prime factors.
- Also take out the other remaining prime factors.
- Multiply those all prime factors and obtain L.C.M if there is not any common prime factors , then their L.C.M is the product of the given numbers..
The steps for finding L.C.M of the given numbers by division method are mentioned below :
- Arrange the given numbers in horizontal position.
- Thus , arranged numbers should be divided by a prime number. During this process , that prime number should divide any two or more given numbers.
- Repeat the process till you get prime number as quotient for each number.
- The product of all prime factors and last quotients is L.C.M
( According to me , Prime factorization method is kinda easy )
Example : L.C.M of 20 and 24
[tex] \underline{ \text{USING \: PRIME \: FACTORIZATION \: METHOD}} : [/tex]
20 = 2 × 2 × 5
24 = 2 × 2 × 2 × 3
L.C.M = Common factors × Remaining factors
= 2 × 2 × 5 × 2 × 3
= [tex] \boxed{ \text{120}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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