what is the smallest number that is divisible by 585 and 624
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9
the smallest number that is divisible by 585 and 624 is the l.c.m of 585 and 624 and that number is 121680
vaishnavipathak123:
3 is the smallest no. which can divide 585 and 624
but in question given that which is the smallest number divisible by 585 and 624 that means 585 and 624 will divide the number
Answered by
6
The smallest number that is divisible by two or more given numbers.
so, find LCM
585|5+
117|3
39|3
13|13
1
=>585=3%5E2%2A5%2A13
and
624|2
312|2
156|2
78|2
39|3
13|13
1
=>624=2%5E4%2A3%2A13
LCM=2%5E4%2A3%5E2%2A5%2A13=16%2A9%2A5%2A13=9360
so, the smallest number that is divisible by 585 and 624 is 9360
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