Question

Which number is a multiple of all three numbers 4,8 and 6

Answer 1

2 is multiple of of this numbers

Answer 2

Answer:

Given :- Which number is a multiple of all the three numbers 4, 8 and 6 ?

Solution :-

Since LCM is a multiple of all three numbers, finding LCM by prime factorization method we get,

Prime factors of 4 , 8 and 6 are :-

→ 4 = 2 * 2 = 2²

→ 8 = 2 * 2 * 2 = 2³

→ 6 = 2¹ * 3¹

so,

→ LCM = Product of highest power of all the factors = 2³ * 3¹ = 2 * 2 * 2 * 3 = 24

Therefore, 24 is the smallest number which is multiple of all three given numbers .

Now, all multiple of 24 will also be the multiple of 4, 8 and 6 .

Extra knowledge :-

HCF(Highest common factor) = Greatest number which exactly divides all the given numbers .

HCF = Product of least power of common factors .

Hope it helps you!!

:)