Question

If HCF (39, 91) = 13, then LCM (39,91) is :​

Answer 1

HCF × LCM = PRODUCT OF TWO NUMBERS

GIVEN

HCF = 13

NUMBERS = 39 , 91

ACCORDING TO THE ABOVE STATED PROPERTY

13 × LCM = 39× 91

LCM = 39 × 91 / 13

LCM = 3549 / 13

LCM = 273

Hence , the required answer is 273

PLEASE MARK THIS ANSWER AS THE BRAINLIEST

Answer 2

If HCF (39, 91) = 13, then LCM (39,91) is 273

Given : HCF (39, 91) = 13

To find : LCM (39,91)

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down the given numbers

The given numbers are 39 and 91

Here it is given that HCF (39, 91) = 13

Step 2 of 2 :

Find LCM (39,91)

We know that

HCF × LCM = Product of the numbers

$\displaystyle \sf{ \implies 13 \times LCM= 39 \times 91}$

$\displaystyle \sf{ \implies LCM= \frac{39 \times 91}{13} }$

$\displaystyle \sf{ \implies LCM= 3 \times 91 }$

$\displaystyle \sf{ \implies LCM= 273 }$

Thus LCM (39,91) = 273

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the HCF of 20 and 35 is 5, LCM of 20 and 35 is 70 X a, then the value of a is

https://brainly.in/question/21460926

2. If HCF of two numbers be 40 then which of the following cannot be their LCM.

https://brainly.in/question/28609013