35 = 5*7
245 = 5*7*7
175 = 5*5*7
To encompass all 3 sets of factors, the LCD must contain two 5's and two 7's.
LCD = 5*5*7*7 = 25*49 = 1225
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The LCM of 35, 175 and 245 is 1225.
The LCM is: 175
175/245 = 35/49 = 5/7
To find the Least Common Multiple (LCM) of 35, 105, and 175, we first need to factorize each number into its prime factors. 35 = 5 * 7 105 = 3 * 5 * 7 175 = 5^2 * 7 Then, we identify the highest power of each prime factor that appears in any of the factorizations. The LCM is the product of these prime factors raised to their highest powers: LCM(35, 105, 175) = 3 * 5^2 * 7 = 525.
Expressed as a proper fraction in its simplest form, by dividing both the numerator and denominator by 35, 175/245 is equal to 5/7 or five sevenths.