If m is the least common multiple of 90, 196 and 300. which of the following is not a factor of m?
1. 600
2. 700
3. 900
4. 2100
5. 4900
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Morgoth
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rabab wrote:If m is the least common multiple of 90, 196 and 300. which of the following is not a factor of m?
1. 600
2. 700
3. 900
4. 2100
5. 4900
IMO 600
90 = 2*3*3*5
196 = 2*2*7*7
300 = 2*2*5*5*3
LCM = M = 2*2*3*3*5*5*7*7
600 = 2*2*5*5*2*3 [this option has an extra 2 more than the LCM]
700 = 7*2*5*2*5
900 = 2*2*5*5*3*3
2100 = 2*2*5*5*3*7
4900 = 2*2*5*5*7*7
Thus, 600.
OA?
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vivek.kapoor83
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HarvardDreamin
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Agree with answer..Morgoth wrote:rabab wrote:If m is the least common multiple of 90, 196 and 300. which of the following is not a factor of m?
1. 600
2. 700
3. 900
4. 2100
5. 4900
IMO 600
90 = 2*3*3*5
196 = 2*2*7*7
300 = 2*2*5*5*3
LCM = M = 2*2*3*3*5*5*7*7
600 = 2*2*5*5*2*3 [this option has an extra 2 more than the LCM]
700 = 7*2*5*2*5
900 = 2*2*5*5*3*3
2100 = 2*2*5*5*3*7
4900 = 2*2*5*5*7*7
Thus, 600.
OA?
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