Question

|найти НОК 105 95 63

Answer 1

105 = 3 * 5 * 7
95 = 5 * 19
63 = 3 * 3 * 7
НОК = 3 * 3 * 5 * 7 * 19 = 5985 - наименьшее общее кратное
5985 : 105 = 57
5985 : 95 = 63
5985 : 63 = 95
Ответ: НОК (105; 95; 63) = 5985

Answer 2

Finding the Least Common Multiple (LCM) of 105, 95, and 63

To find the Least Common Multiple (LCM) of 105, 95, and 63, we can use their prime factorization. The LCM is the smallest multiple that is common to all the numbers.

Step 1: Prime Factorization - 105 = 3 * 5 * 7 - 95 = 5 * 19 - 63 = 3 * 3 * 7

Step 2: LCM Calculation The LCM is the product of the highest power of all prime factors involved. Therefore, the LCM of 105, 95, and 63 is calculated as follows: - LCM = 3^2 * 5 * 7 * 19 = 39915

So, the Least Common Multiple (LCM) of 105, 95, and 63 is 39915.