There are many ways to find the lowest common denominator (LCD).
One way is to list out all the factors of both numbers and find the common one. Whichever one is the lowest is the LCD. But if you're using larger numbers you can do trial and error or multiple the denominators.
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The first step in finding the lowest common denominator of two fractions is to multiply the two denominators. Then you see if there are any smaller numbers that are divisible by both denominators.
You can compare fractions that do not have the same numerator or denominator by finding the least common denominator. For example, compare 1/6 and 1/4. Step 1: Find multiples of the denominators, 6 and 4. Step 2: Find the LCM of 6 and 4. Look at the multiples of 6 and 4. 12 is the least number that is a common multiple of both 6 and 4. Step 3: Write equivalent fractions of 1 out of 6 and 1 out of 4 using 12 as the LCD. Step 4: Compare the 2 fractions.
Example: 1/30 and 1/42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the highest amount of each factor. 2 x 3 x 5 x 7 = 210, the LCD
Change them so they have like denominators. Multiply all that fractions by the least common denominator so that they'll have the same denominators. Example: 1/2 - 1/3 Step 1: The least common denominator is 6. Step 2: Change each fraction so their denominator is 6 (You'll get 3/6 and 2/6) Step 3: Subtract them: 3/6 - 2/6 = 1/6
The first step it to find a common multiple to the denominators. The least common denominator is preferable because it is small but it is not necessary to find the least one. Next, convert each fraction into an equivalent factor with the common multiple as its denominator. Add together all the numerators and place this over the common denominator. Finally, simplify the answer, if possible.For example1/4 + 1/5 + 1/6Find a common multiple: 4*5*6 = 120 (which is also the LCM).Find equivalent fractions: 1/4 = 30/120, 1/5 = 24/120 and 1/6 = 20/120So 1/4 + 1/5 + 1/6 = (30 + 24 + 20)/120 = 74/120Simplify to 37/60.