Question

find the LCM and HCF of 16 and 30 and check their relationship​

Answer 1

Answer:

, L.C.M. = First Number×Second NumberH.C.F." role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">First Number×Second NumberH.C.F.First Number×Second NumberH.C.F.

or, L.C.M. × H.C.F. = Product of two given numbers

or, L.C.M. = Product of Two Given NumbersH.C.F." role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">Product of Two Given NumbersH.C.F.Product of Two Given NumbersH.C.F.

or, H.C.F. = Product of Two Given NumbersL.C.M." role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">Product of Two Given NumbersL.C.M.Product of Two Given NumbersL.C.M.

Step-by-step explanation:

1. Find the L.C.M. of 1683 and 1584.

Solution:

First we find highest common factor of 1683 and 1584                      

Therefore, highest common factor of 1683 and 1584 = 99

Lowest common multiple of 1683 and 1584 = First number × Second number/ H.C.F.

                                                               = 1584×168399" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">1584×1683991584×168399

                                                               = 26928

Answer 2

Answer:

------>16 = 2 ⁴

------>30 = 2 * 3 * 5

-------->LCM =( 2 )⁴ * 3 * 5

---------> = 16 * 15

----------> = 240

---------->HCF = 2

hope this helps dear...