Answer:
[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{1078}}}}}[/tex]
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
I am going to find the L.C.M of 154 and 49 by using these two methods :
1. Prime factorization method:
[tex] \sf{154 \: and \: 49}[/tex]
First of all , find the prime factors of each numbers.
[tex] \sf{154 =2 \times 7 \times 11}[/tex]
[tex] \sf{49 \: = \: 7 \times 7}[/tex]
Take out common prime factor i.e 7
Thenafter, also take out the other remaining prime factors : 2 , 11 and 7
L.C.M = Common factors × Remaining factors
= 7 × 2 × 11 × 7
= 1078
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Next method :
2. Division method
[tex] \sf{154 \: and \: 49}[/tex]
Steps :
⇒ Arranging the given numbers in horizontal position.
⇒Thus, arranged numbers should be divided by a prime number. During this process that prime numbers 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
( see attached picture )
Hope I helped!
Best regards!!
