Math, asked by sanasanajack, 1 year ago

What is the smallest number which when divided by 35,56,91 leaves a reminder 7 in each case

Answers

Answered by SurajKumar0000
2
5,8,13 these are the anwsers.

sanasanajack: will u pls explain how u get it
sanasanajack: will you please explain how you get this ans
SurajKumar0000: ooh sorry its saying that remainder should be 7.
SurajKumar0000: The smallest number which when divided by 35, 56 and 91 = LCM of 35, 56 and 91

35 = 5 x 7
56 = 2 x 2 x 2 x 7
91 = 7 x 13

LCM = 7 x 5 x 2 x 2 x 2 x 13 = 3640

The smallest number that when divided by 35, 56, 91 leaves a remainder 7 in each case = 3640 + 7 = 3647.
SurajKumar0000: LCM = 7 x 5 x 2 x 2 x 2 x 13 = 3640. The smallest number which divides 35,56 and 91 is 3640. But we have a condition that it leaves a remainder of 7. So we add 7 to the LCM (3640+7=3647).
sanasanajack: thank u so much Suraj Kumar
SurajKumar0000: welcome
Answered by inkuluvarshini
0

Answer:

3647

Step-by-step explanation:

The smallest number which when divided by 35, 56 and 91 = LCM of 35, 56 and 91

35 = 5 x 7

56 = 2 x 2 x 2 x 7

91 = 7 x 13

LCM = 7 x 5 x 2 x 2 x 2 x 13 = 3640

The smallest number that when divided by 35, 56, 91 leaves a remainder 7 in each case = 3640 + 7 = 3647.

LCM = 7 x 5 x 2 x 2 x 2 x 13 = 3640. The smallest number which divides 35,56 and 91 is 3640. But we have a condition that it leaves a remainder of 7. So we add 7 to the LCM (3640+7=3647).

Similar questions