CBSE Class 10 Maths Fundamental Theorem of Arithmetic
Q.
Find the highest common factor (HCF) of 64 and 80 by using the prime factorisation method.
Q.
Product of two numbers is equal to
Q.
What is the least common multiple (LCM) of 36 and 14 by using the prime factorisation method?
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The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: _____
Greatest number of 4-digits is 9999.
To find the LCM of 15, 25, 40 and 75.
15 = 3 × 5
25 = 5 × 5
40 = 2 × 2 × 2 × 5
75 = 3 × 5 × 5
L.C.M. of 15, 25, 40 and 75 = 2 × 2 × 2 × 3 × 5 × 5 = 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
PLEASE GO THROUGH THE ABOVE SOLUTION AND EXPLAIN ME THE FOLLOWING POINTS :
Why we took LCM OF 15 , 25 , 40 , 75(REASON IN BREIF )
WHY WE DIVIDED THE LCM (600) AND 9999.
WHY WE SUBTRACTED THE REMAINDER
WHY SUBTRACTING THE REMAINDER GIVES US THE ANSWER.
HOPE YOU EXPLAIN IN BREIF
REGARDS,
ANAS
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