The common denominator of 6, 8, and 10 is the least common multiple (LCM) of the denominators of the fractions. To find the LCM, you need to factorize each number into its prime factors: 6 = 2 x 3, 8 = 2 x 2 x 2, and 10 = 2 x 5. The LCM is the product of the highest power of all prime factors present in the numbers, which in this case is 2 x 2 x 2 x 3 x 5 = 120. Therefore, the common denominator of 6, 8, and 10 is 120.
A common denominator, though the least, is 240.
The lowest common denominator of 5/6 and 3/8 is 24.
Answer: 120Explanation:To find the least common denominator of 4,8,6 and 10 we need the least common multiple of those numbers.Look at the multiples of 10. The first one that is also a multiple of 8 is 40. This does not work for 6, we so continue. The next one is 80. Once again 6 does not go into 80 evenly.We need 120 since it is a multiple of 10, 6, 4 and 8.
Comparing fractions is easiest with a common denominator. Then only the numerators need to be compared. Take 8/40, and divide numerator and denominator by 4 : 8/40 = 2/10. Now compare 2/10 and 6/10 is the same as comparing 2 and 6, so 6/10 is bigger.
The common denominator will be the LCM of these numbers, which is 120.
120
2
A common denominator of 6, 8 and 10 is 480. This is NOT the least common denominator, though.
120
360
the common denominator of 10, 8, and 12 is 120.
A common denominator, though not the least, is 80.
A common denominator, though the least, is 48.
A common denominator, though the least, is 240.
A common denominator, though not the least, is 80.
The lowest common denominator of 5/6 and 3/8 is 24.
The LCD is 600.