find the smallest number which when divided by 1088, 640 and 100 leave

1.	find the smallest number which when divided by 1088, 640 and 100 leaves 3 as reminder in each case in
Answer» STRONG>To Find :- The smallest number which when divided by 1088, 640 and 100 LEAVES 3 as reminder in each case ? SOLUTION :- we know that, The smallest number which when divided by a, b and c leaves r as reminder in each case is = LCM(a,b and c) + r . so, Prime factors of 1088 , 640 and 100 are :- → 1088 = 2⁶ * 17 → 640 = 2⁷ * 5 → 100 = 2² * 5² LCM = 2⁷ * 5² * 17 = 128 * 25 * 17 = 54400 . therefore, → Required number = 54400 + 3 = 54403 (Ans.) Learn more :- वह छोटी से छोटी संख्या बताईये जिसमे 7,9,11 से भाग देने पर 1,2,3 शेष बचे brainly.in/question/9090122

find the smallest number which when divided by 1088, 640 and 100 leaves 3 as reminder in each case in

Answer» STRONG>To Find :-

The smallest number which when divided by 1088, 640 and 100 LEAVES 3 as reminder in each case ?

SOLUTION :-

we know that,

The smallest number which when divided by a, b and c leaves r as reminder in each case is = LCM(a,b and c) + r .

so,

Prime factors of 1088 , 640 and 100 are :-

→ 1088 = 2⁶ * 17

→ 640 = 2⁷ * 5

→ 100 = 2² * 5²

LCM = 2⁷ * 5² * 17 = 128 * 25 * 17 = 54400 .

therefore,

→ Required number = 54400 + 3 = 54403 (Ans.)

Learn more :-

वह छोटी से छोटी संख्या बताईये जिसमे 7,9,11 से भाग देने पर 1,2,3 शेष बचे