Question

the hcf and lcm of two numbers is 2 and 372 respectively. if one of the numbers is 12 , then find the other number​

Answer 1

Answer:

62 is the answer

Step-by-step explanation:

we know a relation that product of two numbers=products of their h.c.f and l.cm

so 2×372=12×x

744=12x

x=62

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Answer 2

Other Number is 62 , if the hcf and lcm of two numbers is 2 and 372 respectively. if one of the numbers is 12

Given:

• HCF and LCM of two numbers are 2 and 372
• One of the number if 12

To Find:

• Other Number

Solution:

• HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
• HCF = product of common factors of least power
• LCM  - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
• LCM = product of each factor  of highest power
• Product of HCF and LCM of Two numbers is Equal to product of two numbers
• HCF (a , b) x LCM ( a , b) =  ab

Use formula HCF (a , b) x LCM ( a , b) =  ab  where a = 12 ,  HCF ( a, b) = 2 and LCM (a , b) = 372  and  solve for b

2 x 372 = 12 x b

=> 2 x 31  = b

=> 62 = b

Hence Other number is 62