Problems on H.C.F and L.C.M Find the L.C.M. of 16, 24, 36 and 54. 189 228 321 432 189 228 321 432 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2 | 16 - 24 - 36 - 54----------------------------- 2 | 8 - 12 - 18 - 27----------------------------- 2 | 4 - 6 - 9 - 27 --------------------------- 2 | 2 - 3 - 9 - 27 -------------------------- 2 | 1 - 3 - 9 - 27-------------------------- 3 | 1 - 1 - 3 - 9--------------------------- 3 | 1 - 1 - 1 - 3 L.C.M. = 2 x 2 x 2 x 3 x 3 x 2 x 3 = 432.
Problems on H.C.F and L.C.M Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers. 395, 343 95, 43 295, 243 195, 143 395, 343 95, 43 295, 243 195, 143 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the required numbers be 15.x and 11x.Then, their H.C.F. is x. So, x = 13.The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.
Problems on H.C.F and L.C.M The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other. 99 79 109 89 99 79 109 89 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other number = 11 X 693 = 99 77
Problems on H.C.F and L.C.M Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm. 45 cm 35 cm 25 cm 55 cm 45 cm 35 cm 25 cm 55 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required length = H.C.F. of 495 cm, 900 cm and 1665 cm. 495 = 3² x 5 x 11, 900 = 2² x 3² x 5², 1665 = 3² x 5 x 37. H.C.F. = 32 x 5 = 45. Hence, required length = 45 cm.
Problems on H.C.F and L.C.M Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively. 221 127 379 445 221 127 379 445 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required number = H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032 _______1651 ) 2032 ( 1 1651 1651_______ 381 ) 1651 ( 4 1524_________ 127 ) 381 ( 3 381 0Required number = 127.
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