i want lcm of 1 by 10 + 1 by 5 + 1 by 8 . i know lower numner is 40 what will be the upper numer if it is 17 how ?????
Answers
Step-by-step explanation:
The answer comes out to be 2520.First consider that 7 is the only number in the series that is not a common factor of the other numbers or a factor.Thus to get the LCM of all the numbers 7 would have to be multiplied with the LCM of all the other numbers.8 and 9 are powers of 2 and 3 respectively.Therefore they are considered for multiplication but not 2 and 3 since a higher power means that if a smaller number of which they are powers is used in their place then the divisor obtained by dividing a higher power with that small number is unconsidered due to which a LCM of all the numbers including the smaller numbers but excluding the powers is obtained due to which such an LCM is not an LCM that includes the higher powers also.Now consider 10.What are its factors?Obviously 2 and 5 respectively.The reason for ignoring 2 has been discussed.But 10 is a multiple of 2 and 5.Any multiple of 40,the number obtained by multiplying 8 and 5 is also a multiple of 10 8 is considered for multiplication but not 2.Using this information the LCM of 1,2,3,4,5,6,8,9 and 10 comes out to be 360.By multiplying 360 with 7,the LCM of the whole series comes to be 2520.