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7 grade maths

Find the L.C.M of the following numbers 3, 6, 9.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the Least Common Multiple (L.C.M) of the numbers 3, 6, and 9, we can follow these steps:

Step 1: Find the prime factorization of each number.
3 = 3
6 = 2 × 3
9 = 3 × 3
Step 2: Take the highest power of each prime factor that appears in the factorization of any of the numbers.
The prime factors are 2 and 3.
The highest power of 2 is 2¹ (from 6).
The highest power of 3 is 3² (from 9).
Step 3: Multiply the highest powers of all the prime factors.
L.C.M = 2¹ × 3² = 2 × 9 = 18
Thus, the L.C.M of 3, 6, and 9 is 18.