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What are the 2 digit common multiples of 2 3 and 5?
lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.
What is a common denomonator for 5 3 4 and 2?
5,3,4, and 2 have many common denominators. What is the least common denominator of all of them?Let's look at the multiples of each number. We do this because common denominators are really common multiples of the denominators. And the LCD is really just the least common multiple (LCM) of the denominators.Starting with 2, the 3, and 4 and last 5 we have the following lists of multiples:2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,68,603,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,604,8,12,16,20,24,28,32,36,40,44,48,52, 56,605,10,15,20,25,30,35,40,45,50,55,60So 60 is the first common multiple and it is the least common denominator of 2, 3, 4 and 5. Note that we could also factor 2, 3, 4 and 5 into primes (2, 3 and 5 already are) So we have 2, 3, 2^2 and 5 We take the largest exponent possible from each and we have 3 x 2^2 x 5 = 20 x 3 = 60. This is the faster way to do this.
What number is divisible by 2 3 and 5?
30 is divisible by, and is the least common multiple of, 2, 3, and 5.
What is the lowest common multiple for 15 and 12?
60 (15 = 3*5, 12=2*2*3 -> 2*2*3*5 = 60)
What is a common denominator of the fractions 2-3 and 3-5?
15
