LCM & HCF

 

LCM-: Least common factor. LCM is divisible by given no.

HCF-: Highest common factor. Given no. is fully divisible by HCF.

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1.         Find the HCF of 513, 1134, and 1215?

 

2.         Find the LCM & HCF of     and ?

 

3.         The two numbers are in the ratio 15:11. If their HCF is 13, find the numbers?

 

4.         Find the greatest number, which on dividing 1657 & 2037 leaves remainders 6 & 5  respectively?

 

5.         Find the least number which when divided by 6, 7, 8, 9 and 12, leaves the same remainder 1 in each case?

 

6.         The traffic light at three different road crossing change after every 48 second, 72 second  and 108 second respectively. If the all change simultaneously at 8:20:00 am, then at what time will they again change simultaneous?

 

7.       The sum of two numbers is 216 & their HCF is 27. The number is?

 

8.         The LCM of two numbers 45 times of their HCF. If one of the number is 125 and the sum of HCF & LCM is 1150, The other is?

 

9.         Reema, Seema & Meena being to a jog around circular stadium & the complete their  revolution in 54 second, 42 second and 63 second respectively. After how much time they will come together at the starting point?

 

10.       The least number of five digits, which is exactly divisible by 12, 15 and 18 is?

 

11.       The greatest number of four digit, which is divisible by 15, 25, 40 and 75 is?

 

12.       Find the greatest number which is such that when 76, 151, and 226 are divided by it, the  remainders are all alike. Also find the common remainder?

 

13.       The sum of two numbers is 216 and their HCF is 27. Find the numbers of pairs?

 

14.       The LCM of two numbers is 495 and their HCF is 5, If the sum of the numbers is 100, then  find larger number.

 

15.       Six bells commence tolling together and toll at intervals of 2, 4,6,8,10,12 seconds  respectively. In 30 minutes, how many times to they toll together?