To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 168 is 2^3 * 3 * 7 and the prime factorization of 378 is 2 * 3^3 * 7. To find the LCM, you take the highest power of each prime factor that appears in either number: 2^3 * 3^3 * 7 = 1512. Therefore, the least common multiple of 168 and 378 is 1512.
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378
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 126 and 189 is 378.
126, 252, 378, 504.
To find the Least Common Multiple (LCM) of 27, 54, and 189, we first need to find the prime factorization of each number. The prime factorization of 27 is 3^3, 54 is 23^3, and 189 is 3^37. Then, we take the highest power of each prime factor that appears in any of the numbers, which gives us 23^37 = 378. Therefore, the LCM of 27, 54, and 189 is 378.
The LCM of 54 and 72 is 216, which is the multiple of the highest power of prime factors from both numbers (23 x 33 = 2 x 2 x 2 x 3 x 3 x 3 = 216). (Prime factors: 54 = 2 x 33; 72 = 23 x 32)