(A) To find the $LCM$ of $15, 21,$ and $35$,we first find the prime factorization of each number:$15 = 3 \times 5$$21 = 3 \times 7$$35 = 5 \times 7$Th

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(A) To find the $LCM$ of $15, 21,$ and $35$,we first find the prime factorization of each number:$15 = 3 \times 5$$21 = 3 \times 7$$35 = 5 \times 7$The $LCM$ is the product of the highest power of each prime factor present in the numbers:$LCM(15, 21, 35) = 3^1 \times 5^1 \times 7^1 = 3 \times 5 \times 7 = 105$Therefore,the correct option is $A$.