For any two natural numbers a and b:
Product of a and b = LCM(a,b) x GCF(a,b)
Let one of the numbers be y, then other number = (55 - y)
So,
y(55 - y) = 450 x 5
55y - y2 = 2250
On solving the equation we get
y = 5/2(11 ± i(239)1/2)
where i = (-1)1/2
Solutions of the given equation are two complex numbers but according to question we need natural numbers. Since GCF and LCM are defined for natural numbers then there exists no value of y for which the given conditions are true.
45 and 10
10 and 45. 10=5*2 10+45=55 45*2=90 45=5*9 10*9=90
Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.
To find the second common multiple of two numbers, you first need to identify the least common multiple (LCM) of the two numbers. The LCM is the smallest number that is a multiple of both numbers. Once you have the LCM, you can then find the second common multiple by adding the LCM to the LCM itself. This will give you the second common multiple of the two numbers.
Knowing the LCM of the denominators of unlike fractions will help you find the least common denominator, a necessary step in adding and subtracting them. Knowing the GCF of a numerator and denominator will tell you if the fraction can be reduced.
45 and 10
50 and 45
45 and 10
45 and 10
It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.
Finding the LCM will make adding and subtracting fractions easier.
Use the GCF to reduce fractions. Use the LCM to add and subtract unlike fractions. Carpenters work with fractions a lot.
There are infinitely many pairs of numbers that add up to 450. The set with the smallest difference is 225 and 225. Any set of numbers that are an equal distance lower and higher than 225 will add up to 450.225-37=198225+37=262198+262=450
10 and 45. 10=5*2 10+45=55 45*2=90 45=5*9 10*9=90
When adding or subtracting fractions with different denominators and when reducing fractions to their lowest termsWhen adding or subtracting fractions with different denominators their lowest common multiple is needed and when reducing fractions to their lowest terms their greatest common factor is needed.
Find the GCF when you want to simplify a fraction. Find an LCM when you want to add and subtract fractions.
Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.