Numbers A, B and C are integral multiples of 3, 5 and 7 respectively.
If A>C> 17, then the lowest possible common multiple of all the three i.e., A, B
and Cis
Answers
Answer:
105
Step-by-step explanation:
since A,B and C are integral multiples of 3,5 and 7
the LCM of A,B and C would be 3x5x7=105
Concept:
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
We have two key techniques—the division method and the prime factorization approach—for determining H.C.F. and L.C.M.
Given:
Numbers A, B and C are integral multiples of 3, 5 and 7 respectively.
If A>C> 17
Find:
Find the lowest possible common multiple of all the three i.e., A, B
and C?
Solution:
We need to find the lcm of 3,5,7
3=3x1
5=5x1
7=7x1
Lcm be 3x5x7 =105
So, the lowest common multiple be 105
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