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Why is the least common denominator of 3 4ths and 4 8ths not the product of four and eight?
Wiki User
∙ 7y ago
The least common denominator of 3/4 and 4/8 is the least common multiple of the denominators 4 and 8; this is the smallest whole number divisible by both 4 and 8.
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, ...
The multiples of 8 are 8, 16, 24, 32, ...
So the common multiples of 4 and 8 are 8, 16, 24, 32, ....
So the least common multiple is 8.
The LCM of two numbers is their product divided by their HCF (Highest Common Factor - the largest whole number that divides into both numbers without remainder. The HCF of 4 and 8 is 4 as 4 is both a factor of 4 and 8; thus lcm(4, 8) = 4 × 8 ÷ 4 = 8.
Wiki User
∙ 7y ago
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What circumstances is the product of the denominators the least common denominator?
If the GCF of the denominators is 1, the least common denominator is their product.
If two fraction have unlike denominators then the LTD is the product of their denominations?
Answer: I assume you are talking about the least common denominator. If you multiply the denominators, you will get a common denominator. This will always work, if you need to add, subtract, or compare fractions. However, the common denominator you thus get will not always be the LEAST common denominator. Examples: * For denominators 7 and 11, the least common denominator is, indeed, the product (77). * For denominators 4 and 6, the product is 24, but the least common denominator is 12. * The difference can be more extreme, too; for denominators 100 and 200, the product is 20,000, but the least common denominator is only 200. * Or even more extreme: if both fractions have the denominator 551, the product is 303,601. The least common denominator, of course, is just 551. Answer: I am not sure but it's Lcd
What is the greatest common denominator of any 2 prime numbers?
Their least common denominator is their product. Their greatest common denominator is infinite.
What is the least common denominator of 17 and 16?
Their product.
What is the least common denominator of 35 and 96?
Their product.
What is the least common denominator of 14 and 221?
Their product.
What is eight and three's least common denominator?
24
Whats the common denominator of six eight and ten?
A common denominator of 6, 8 and 10 is 480. This is NOT the least common denominator, though.
What is the least common denominator of 11 and 36?
The least common denominator (LCD) refers to a multiple that is COMMON to two or more numbers. You have only one number in the question! The least denominator for a number is itself.
What is the least common denominator of six eight and twelve?
24
WHAT IS THE least common denominator of seven eight and 3?
168.
What is the least common denominator of seven and eight?
8
