Question

The L.C.M. of 14/15,6/35 is
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Answer 1

Answer:

The L.C.M is 116/105. The answer will be correct

Answer 2

The LCM of 14/15,6/35 = 42/5  

Given:

14/15, 6/35

To find:

The LCM of 14/15,6/35

Solution:

LCM:

• Full form of LCM is Least Common Multiple

• LCM is a number  which can be divide by given two number evenly.

• LCM is also known as Least Common Divisor of the given numbers

• Example: LCM(5,25)

        5 = 5 × 1 and 25 = 1 × 5 × 5

        LCM(5, 25) = 5 × 5 = 25

Note:

HCF is Highest Common factor or Greatest common divisor (GCD) of given numbers    

Given  14/15,6/35

LCM (a/b, c/d) = LCM of Numerators/HCF of Denominators  

LCM of Numerators = LCM (14, 6)

⇒ 14 = 2 × 7  

⇒ 6 = 2 × 3

⇒ LCM (14, 6) = 42

HCF of Denominators = HCF(15, 35)

⇒ 15 = 3 × 5

⇒ 35 = 5 × 7

⇒ HCF(15, 35) = 5

The LCM of 14/15,6/35 = 42/5  

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