The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, find the other.

LCM of two numbers is 14 times their HCF and they have a sum 600

To find out the two numbers that will give out LCM which is 14 times HCF with sum of 600, we will follow the below-mentioned steps.

Now, Let the HCF be h and LCM be 14h

We are already given that,

HCF+LCM = 600

First number = 280

So now,

h+ 14h=600

15h= 600

h= 600/15

h= 40

HCF= 40

LCM = 14h = 14×40 = 560

LCM = 560

Now, we will calculate the second number in the following way.

HCF×LCM = first number × second number

Let the second number be s.

40×560 = 280×s

s = (40×560) /280

s = 40×2

s = 80

Hence, the second number required along with 280 is 80.

Summary:

The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, find the other.

If the LCM of two numbers is 14 times their HCF with a sum of 600 and the first number is 280, then the second number is 80. Candidates can calculate this by finding out the values of HCF and LCM first and then using them to find the value of the second number.

Related Questions:

• Find the largest number that will divide 398 , 436 and 542 leaving remainders 7 , 11 and 15 respectively
• Find the greatest number that will divide 445, 572 and 699 leaving remainder 4,5,6 effectively
• Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
• A bag contains 4 white and 3 red balls. Two draws of one ball each are made without replacement. The probability that both the balls are red is?
• Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
• A card is drawn from a pack of 52 cards. The probability of getting an ace is 1/52. True or False?
• A number is chosen at random among the first 100 natural numbers. Find the probability that the number chosen is prime.
• Find the probability of obtaining a number less than 4 when a dice is thrown.