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Sagot :
Answer:
Step-by-step explanation:
Lowest Common Multiple (LCM) of T and X:
First, let’s find the prime factorization of both T and X:
T: 25⋅38⋅5
X: 24⋅32⋅5⋅7
Now, identify the common prime factors and their highest powers:
Common factors: 24
and 32
Highest power of 2: 24
(from X)
Highest power of 3: 32
(from X)
Highest power of 5: 5
(from both T and X)
Highest power of 7: 7
(from X)
Multiply these highest powers together:
LCM = 24⋅32⋅5⋅7=2520
Highest Common Factor (HCF) of T and X:
The HCF is found by multiplying the common prime factors with their lowest powers:
Common factors: 24
and 32
Lowest power of 2: 24
(from T)
Lowest power of 3: 32
(from T)
HCF = 24⋅32=144
Therefore:
LCM of T and X = 2520
HCF of T and X = 144
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