Question

find the HCF of 120 , 105 and 150 using prime factorisation meathod . also find the LCM of these numbers

Answer 1

120= 2*2*2*3*5
105=3*5*7
150=2*3*5*5
hcf(120,105,150)=3*5=15
lcm(120,105,150)=3*5*2*2*2*7*2*5 (write the product)

Answer 2

Answer:

The H.C.F of the numbers 120, 105 and 150 is 15.

The L.C.M of the numbers 120, 105 and 150 is 4200.

Step-by-step explanation:

The prime factorization of the numbers are;

• 120 = 2  X 3 X 5 X 2 X 2

• 105 = 3 X 5 X 7

• 150 = 2  X 5 X 5 X 3

The common factors of 120, 105 and 150  are 3 and 5.

H.C.F = 3 X 5 = 15

All factors of 120, 105 and 150 are 2 , 2, 2, 3, 5, 7, 5

L.C.M.

= 2 X 3 X 5 X 5 X 7  X 2 X 2

= 4,200.

Therefore H.C.F = 15 ; L.C.M = 4200.

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