Question

How to find the LCM (least common multiple) of two numbers​

Answer 1

I always started by written out the multiples and stopped when the numbers lined up. For example:
5:5,10,15,20,25,30,35,40,45,50,55,60
12:12,24,36,48,60
The lcm of 5 and 12 is 60. Another tip is to multiply the two numbers together so 5x12 is 60 and check to see if there is a smaller number

Answer 2

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

`\underline{ \text{USING \: PRIME \: FACTORIZATION \: METHOD}} :`

20 = 2 × 2 × 5

24 = 2 × 2 × 2 × 3

L.C.M = Common factors × Remaining factors

= 2 × 2 × 5 × 2 × 3

=
`\boxed{ \text{120}}`

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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