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Question
Find a number which is a multiple of all the numbers from 1 to 10.
Find a number which is a multiple of all the numbers from 1 to 10.
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Solution
The correct option is A 5040
Writing the factors of each number:
5040:1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,
112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040
which includes 1, 2, 3 ,4 ,5, 6, 7, 8, 9, 10.
Therefore, 5040 is a multiple of 1,2,3,4,5,6,7,8,9,10.
5040
Writing the factors of each number:
5040:1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,
112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040
which includes 1, 2, 3 ,4 ,5, 6, 7, 8, 9, 10.
Therefore, 5040 is a multiple of 1,2,3,4,5,6,7,8,9,10.
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