![2) Calculate the L.C.M. of 148 and 185 ?
1)720
2)540
3)820
4)740
Explanation :- H.C.F. of 148 and 185 is 37.
∴ L.C.M. = [ (148 × 185) / 37 ] = 740 .
Ans :- 740](https://image.slidesharecdn.com/h-170228120454/85/H-c-f-and-l-c-m-questions-and-answers-3-320.jpg)
![5) Find the L.C.M. of 2/3 , 3/5 , 4/7 , 9/13 ?
1)12
2)34
3)45
4) 36
Explanation :- L.C.M. = [ (L.C.M. of 2, 3, 4, 9 ) / (H.C.F.
of 3, 5, 7, 13) ] = 36/1 = 36.
Ans :- 36](https://image.slidesharecdn.com/h-170228120454/85/H-c-f-and-l-c-m-questions-and-answers-6-320.jpg)
![7) Find the other number when the two numbers H.C.F and L.C.M
are 11 and 7700 respectively, where the first number is 275?
1) 301
2) 308
3) 312
4) 378
Explanation :- Other number = [ (11 × 7700) / 275 ] = 308.
Ans :- 312](https://image.slidesharecdn.com/h-170228120454/85/H-c-f-and-l-c-m-questions-and-answers-8-320.jpg)
![8) Find the smallest fraction, with which each of 6/7 , 5/14 , 10/21 will
divide exactly?
1) 30 / 8
2) 30 / 9
3) 30 / 7
4) 30 /1
Explanation :- Needed answer = L.C.M. of 6/7 , 5/14 , 10/21 = [
(L.C.M. of 6, 5, 10) / (H.C.F. of 7, 14, 21) ] = 30/7 .
Ans :- 30 / 7](https://image.slidesharecdn.com/h-170228120454/85/H-c-f-and-l-c-m-questions-and-answers-9-320.jpg)
![10) If the product of two numbers is 1880 and their H.C.F. is 5. Then
find the L.C.M. of the numbers ?
1) 389
2) 346
3) 378
4) 376
Explanation :- L.C.M. = [ (product of numbers) / (H.C.F.) ] =
1880 / 5 = 376.
Ans :- 376](https://image.slidesharecdn.com/h-170228120454/85/H-c-f-and-l-c-m-questions-and-answers-11-320.jpg)
H.c.f and l.c.m questions and answers
- 1. H.C.F AND L.C.M Questions and Answers
- 4. 3) Find the highest length which can be used to measure exactly the lengths 7m, 6m 45 cm, 12m 95 cm ? 1) 38 cm 2) 34 cm 3) 35 cm 4) 30 cm Explanation :- First we have to convert metre into cms Required length = H.C.F. of 700cm , 645 cm and 1295 cm = 35cm. Ans :- 35 cm
- 7. 6) Find the least number which when divided by 28,40,52 and 130 leaves 18,30,42 and 120 as reminders respectively? 1) 3630 2) 3730 3) 3620 4) 2630 Explanation :- Here (28 - 18) = 10, (40 - 30) = 10, (52 - 42) = 10, (130 - 120) = 10 ∴ Required number = (L.C.M. of 28, 40, 52, 130) – 10 = 3640 – 10 = 3630 . Ans :- 3630
- 8. 7) Find the other number when the two numbers H.C.F and L.C.M are 11 and 7700 respectively, where the first number is 275? 1) 301 2) 308 3) 312 4) 378 Explanation :- Other number = [ (11 × 7700) / 275 ] = 308. Ans :- 312
- 10. 9) If the L.C.M. of three numbers is 120. Which of the following cannot be their H.C.F ? 1) 16 2) 73 3) 92 4) 35 Explanation :- Since H.C.F. is always a factor of L.C.M., we cannot have three numbers with H.C.F. 35 and L.C.M. 120. Ans :- 35
- 11. 10) If the product of two numbers is 1880 and their H.C.F. is 5. Then find the L.C.M. of the numbers ? 1) 389 2) 346 3) 378 4) 376 Explanation :- L.C.M. = [ (product of numbers) / (H.C.F.) ] = 1880 / 5 = 376. Ans :- 376