find the greatest number that will devide 140,170,155 leaving remainder 5 in each case
Answers
Answered by
0
Answer:
73785
Step-by-step explanation:
Find the prime factors:
140 = 2² x 5 x 7
170 = 2 x 5 x 17
155 = 5 x 31
Find the LCM:
LCM = 2² x 5 x 7 x 17 x 31 = 73780
Find the number:
The remainder is 5
Number = 73780 + 5 = 73785
Answer: The number is 73785
Check:
73785 ÷ 140 = 527 remainder 5
73785 ÷ 170 = 434 remainder 5
73785 ÷ 155 = 476 remainder 5
Answered by
1
Answer: 73785
Step-by-step explanation: Find the prime factors:
140 = 2² x 5 x 7
170 = 2 x 5 x 17
155 = 5 x 31
Find the LCM:
LCM = 2² x 5 x 7 x 17 x 31 = 73780
Find the number:
The remainder is 5
Number = 73780 + 5 = 73785
Answer: The number is 73785
Check:
73785 ÷ 140 = 527 remainder 5
73785 ÷ 170 = 434 remainder 5
73785 ÷ 155 = 476 remainder 5
Similar questions