How to find LCM of 3 numbers?

To find the least common multiple (LCM) of three numbers, identify the prime factors of each number, and then multiply the highest power of each prime factor together.

To find the LCM of 28, 44, and 132.

The prime factorization of 28, 44, and 132 are

28 = 2² × 7¹
44 = 2² × 11¹
132 = 2² × 3¹ × 11¹

The unique prime factors present in the factorizations are 2 and 11.
The highest power among the three numbers for each prime factor are
for, 2: 2, and 11: 1

LCM Calculation

LCM(28, 44, 132) = 2² × 11¹ = 4 × 11 = 44

So, the Least Common Multiple (LCM) of 28, 44, and 132 is 44

To determine the least common multiple (LCM) of three numbers, first, factorize each number into its prime components. Then, identify the highest power of each prime factor among the three sets. Finally, multiply these highest powers together to obtain the LCM, which represents the smallest multiple common to all three numbers. This method ensures an efficient way to find the least common multiple and is fundamental in various mathematical applications and problem-solving scenarios.