Question

If the HCF of two numbers 40 and 35 is 5, then the L.C.M is
a) 140
b) 70
re than
c) 280​

Answer 1

Answer:

LCM =(40×35)/5=280

C) 280

Step-by-step explanation:

Hope it helps....

Answer 2

Option c) 280 is correct.

• If the H.C.F. of two numbers 40 and 35 is 5, then the L.C.M. is 280.

Given :–

• The highest common factor (H.C.F.) = 5.
• Two numbers = 40 and 35.

To Find :–

• The least common multiple (L.C.M.).

Solution :–

Let,

The least common multiple (L.C.M.) be x.

We know that,

H.C.F. × L.C.M. = One number × Other number

We have,

• H.C.F. = 5.
• One number = 40.
• Other number = 35.

Now, substitute all the values.

$\longmapsto 5 \times x = 40 \times 35$

$\longmapsto 5x = 1400$

$\longmapsto x = \cancel\dfrac{1400}{5}$

$\longmapsto x = 280$

So, the L.C.M. = x = 280.

Hence,

The least common multiple (L.C.M.) is 280.

So, the option c) 280 is correct.

Verification :–

H.C.F. × L.C.M. = One number × Other number

Now we have,

• H.C.F. = 5.
• L.C.M. = 280.
• One number = 40.
• Other number = 35.

Now, substitute all the values.

$\longmapsto 5 \times 280 = 40 \times 35$

$\longmapsto 1400 = 1400$

Hence Verified ! !