which number can divided by 1 to 10 all number completely
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Answered by
0
Answer:
2520
Step-by-step explanation:
yes this number is divided by all 1 to 10
Answered by
2
Answer:
To find the least number which us completely divisible by all number from 1 to 10 including both, we need to find LCM of these numbers :
• We can factories these numbers as :
⇒ 1 = 1
⇒ 2 = 1 × 2
⇒ 3 = 1 × 3
⇒ 4 = 1 × 2²
⇒ 5 = 1 × 5
⇒ 6 = 1 × 2 × 3
⇒ 7 = 1 × 7
⇒ 8 = 1 × 2³
⇒ 9 = 1 × 3²
⇒ 10 = 1 × 2 × 5
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• Least Common Multiple of these numbers :
LCM : The smallest positive number that is a multiple of two or more numbers.
⇢ LCM = 1 × 2³ × 3² × 5 × 7
⇢ LCM = 1 × 8 × 9 × 5 × 7
⇢ LCM = 2520
∴ Hence, 2520 is that number which is completely divisible by all numbers from 1 to 10.
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